2024 4x 2 6x 2 0 - The procedure to use the distributive property calculator is as follows: Step 1: Enter an expression of the form a (b+c) in the input field. Step 2: Now click the button “Submit” to get the simplified expression. Step 3: Finally, the simplification of the given expression will be displayed in a new window.

 
3x4-x3+4x2-2x-4=0 Four solutions were found : x = 1 x = -2/3 = -0.667 x= 0.0000 - 1.4142 i x= 0.0000 + 1.4142 i Step by step solution : Step 1 :Equation at the end of step 1 : ... The given equation is 6x4 −3x3 +8x2−x+2 = 0 Given: α+β = 0 Hence, α= −β Now, from the given equation α+β +γ+δ = 3/6 = 1/2 (α+β)(γ+δ)+αβ+γδ= 8/6 .... 4x 2 6x 2 0

x2-6x+4 Final result : x2 - 6x + 4 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x+4 The first term is, x2 its coefficient is 1 . The ... 2x2-6x+4 Final result : 2 • (x - 1) • (x - 2) Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x) + 4 Step 2 : Step 3 :Pulling out ...Solve Quadratic Equation by Completing The Square. 2.2 Solving x2-6x-2 = 0 by Completing The Square . Add 2 to both side of the equation : x2-6x = 2. Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9. Add 9 to both sides of the equation : On the right hand side we have :Given quadratic equation is 5x 2−6x−2=0. →x 2− 56x− 52=0 (Divide on both sides by 5) →x 2−2(53)x+ 259 = 259 + 52 (add (53)2= 259 on both sides) →(x− 53)2= 2519. →x− 53=± 2519 (take square root on both sides) Thus, we have x= 53± 5 19= 53± 19. Hence, the solution set is { 53+ 19, 53− 19}. Solve any question of ...4x2-2x-42=0 Two solutions were found : x = -3 x = 7/2 = 3.500 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 - 2x) - 42 = 0 Step 2 : Step 3 :Pulling out like ... 4x2-2x-52=0 Two solutions were found : x = (1-√209)/4=-3.364 x = (1+√209)/4= 3.864 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 - 2x ... (2 2 x 2 - 6x) - 9 = 0 Step 2 : Trying to factor by splitting the middle term 2.1 Factoring 4x 2-6x-9 The first term is, 4x 2 its coefficient is 4 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -363x2-6x+12=0 Two solutions were found : x = (2-√-12)/2=1-i√ 3 = 1.0000-1.7321i x = (2+√-12)/2=1+i√ 3 = 1.0000+1.7321i Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 6x) ... How do you solve −3x2 − x + 2 = 0 ? x= −1, 32 Explanation: −3x2 −x+2 = 0 (−3x+2)(x+1)= 0 Solving for the first ...Answer link. Use the quadratic 'Complete the Square' method x^2 - 6x +y^2 - 4y = 12 Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides. x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4 (x - 3)^2 + (y -2)^2 = 25 Circle centered at (3,2) with radius = 5.Pre-Algebra. Simplify 2+4 (6x-6) 2 + 4(6x − 6) 2 + 4 ( 6 x - 6) Simplify each term. Tap for more steps... 2+24x− 24 2 + 24 x - 24. Subtract 24 24 from 2 2. 24x−22 24 x - 22.Completing the square is a method that represents a quadratic equation as a combination of quadrilateral used to form a square. The basis of this method is to discover a special value that when added to both sides of the quadratic that will create a perfect square trinomial. That special value is found by evaluation the expression (b 2)2 where ...4x2+6x-1=0 Two solutions were found : x =(-6-√52)/8=(-3-√ 13 )/4= -1.651 x =(-6+√52)/8=(-3+√ 13 )/4= 0.151 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 + …To complete the square when a is greater than 1 or less than 1 but not equal to 0, divide both sides of the equation by a. This is the same as factoring out the value of a from all other terms. As an example let's complete the square for this quadratic equation: 2x2 − 12x + 7 = 0 2 x 2 − 12 x + 7 = 0. a ≠ 1, and a = 2, so divide all terms ...2x2-6x+4=0 Two solutions were found : x = 2 x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x) + 4 = 0 Step 2 : Step 3 :Pulling out like terms : 3.1 ... 3x2-6x+4=0 Two solutions were found : x = (6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i x = (6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i Step by step solution : Step 1 ... DIKASIH INFO - Pertanyaan selesaikan pertidaksamaan berikut ini: a. 4 + 8x < 6x – 2 b. x² + 7x + 12 ≥ 0 ini sering ditanyakan oleh banyak mahasiswa.. Pasalnya, pertanyaan tentang selesaikan pertidaksamaan berikut ini: a. 4 + 8x < 6x – 2 b. x² + 7x + 12 ≥ 0 ini biasanya ditanyakan dalam Mata Kuliah Matematika. Salah satu yang sering …To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. How do you factor a trinomial? To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b. Rewrite the trinomial as …Algebra Free math problem solver answers your algebra homework questions with step-by-step explanations. Solve Quadratic Equation by Completing The Square. 2.2 Solving x2-6x-2 = 0 by Completing The Square . Add 2 to both side of the equation : x2-6x = 2. Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9. Add 9 to both sides of the equation : On the right hand side we have :The procedure to use the equivalent expression calculator is as follows: Step 1: Enter an algebraic expression in the input field. Step 2: Now click the button “Submit” to get the equivalent expression. Step 3: Finally, the equivalent expression for the given algebraic expression will be displayed in a new window.Calculus Solve for x 6x^2-4x-2=0 6x2 − 4x − 2 = 0 6 x 2 - 4 x - 2 = 0 Factor the left side of the equation. Tap for more steps... 2(3x+1)(x−1) = 0 2 ( 3 x + 1) ( x - 1) = 0 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. 3x+1 = 0 3 x + 1 = 0 x−1 = 0 x - 1 = 0Free Complete the Square calculator - complete the square for quadratic functions step-by-step.The discriminant. This online calculator calculates the discriminant of the quadratic polynomial, as well as higher degree polynomials. In algebra, the discriminant of a polynomial is a polynomial function of its coefficients, which allows deducing some properties of the roots without computing them. 1. You are probably aware of the well …If α and β are the zeroes of a polynomial x 2−4 3x+3, then find the value of α+ β−αβ. >. View more. Click a picture with our app and get instant verified solutions. Click here👆to get an answer to your question ️ If alpha and beta are zeros of x^2 - 6x + a and 3alpha + 2beta = 20 . find the value of a .Algebra Solve by Factoring 4x^2+6x=0 4x2 + 6x = 0 4 x 2 + 6 x = 0 Factor 2x 2 x out of 4x2 +6x 4 x 2 + 6 x. Tap for more steps... 2x(2x+3) = 0 2 x ( 2 x + 3) = 0 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0 2x+3 = 0 2 x + 3 = 0 Set x x equal to 0 0. x = 0 x = 0What are the solutions to the equation 4x^2+6x-1=0 ? The solutions to the equation 4x^2+6x-1=0 are x=(-3+sqrt(13))/4 ,x=-(3+sqrt(13))/4; Find the zeros of 4x^2+6x-1=0; …Given the quadratic equation: ax^2+4x+1=0. The steps below illustrate a step by step solution strategy to solving a quadratic equation using the completing the square method. Step 1: If a\ne 1, divide the equation through by a to have a unity coefficient as the leading coefficient. The result will be . x^2+\frac{4}{a} x+\frac{1}{a}=0Algebra. Simplify (6x)^2. (6x)2 ( 6 x) 2. Apply the product rule to 6x 6 x. 62x2 6 2 x 2. Raise 6 6 to the power of 2 2. 36x2 36 x 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Reviews, rates, fees, and rewards details for The My GM Rewards Card™. Compare to other cards and apply online in seconds Excellent Credit, Good Credit $0 Earn 15,000 bonus points after you spend $1,000 in your first three months - that's $...Free functions vertex calculator - find function's vertex step-by-step.4x2 − 20x + 25 = 0 by factoring and then using the Square Root Property, do you get the same result? Solve by using the Quadratic Formula: {r}^{2}+10r+25=0.Solve by Completing the Square x^2-6x-4=0. x2 − 6x − 4 = 0 x 2 - 6 x - 4 = 0. Add 4 4 to both sides of the equation. x2 − 6x = 4 x 2 - 6 x = 4. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b. (b 2)2 = (−3)2 ( b 2) 2 = ( - 3) 2. Add the term to each side of the equation. Algebra. Solve by Factoring 6x^2+4x=0. 6x2 + 4x = 0 6 x 2 + 4 x = 0. Factor 2x 2 x out of 6x2 +4x 6 x 2 + 4 x. Tap for more steps... 2x(3x+2) = 0 2 x ( 3 x + 2) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. 3x+2 = 0 3 x + 2 = 0.Find p and q knowing their sum b = 4 and their product c = 40. Compose factor pairs of c = 40. Proceed: (1, 40) (2, 20) (4, ... x2+6x+1 Final result : x2 + 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+6x+1 The first term is, x2 its coefficient is 1 . The ...Step 1: Enter the equation you want to solve using the quadratic formula. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. For equations with real solutions, you can use the graphing tool to visualize the solutions. Quadratic Formula: x = −b±√b2 −4ac 2a x = − b ± b 2 − 4 a c 2 a. Solution: Replace the variables y & x, to find inverse function f-1 with inverse calculator with steps: y = x + 11 / 13x + 19. y(13x + 19) = x + 11. 13xy + 19y – x = 11. x (13y – 1) = 11 – 19y. x = 11 – 19y / 13y – 1. Hence, the inverse function of y+11/13y+19 is 11 – 19y / 13y – 1. Here you can also verify the results by using ...Free Complete the Square calculator - complete the square for quadratic functions step-by-step.If for 0 < x < π/2, exp (sin^2x + sin^4x + sin^6x + ..... ∞) loge2) satisfies the quadratic equation x^2 – 9x + 8 = 0, asked Nov 8, 2022 in Geometric Progressions by Mounindara ( 56.7k points) geometric progressionsLet’s take the equations 4x2 + 4x + 1 = 0 and (x – 3)2 = 0 and find their roots using quadratic formula. For 4x2 + 4x + 1 = 0 For (x – 3)2 = 0 The roots of 4x2 + 4x + 1 = 0 are −1 2 and 1 2,and they are real, rational and equal while the roots of x2 + 6x + 9 = 0 are 3 and 3, and they are also real, rational and equal.Understand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn.; Learn from detailed step-by-step explanations Get walked through each step of the solution to know exactly what path gets you to the right answer. 3x4-x3+4x2-2x-4=0 Four solutions were found : x = 1 x = -2/3 = -0.667 x= 0.0000 - 1.4142 i x= 0.0000 + 1.4142 i Step by step solution : Step 1 :Equation at the end of step 1 : ... The given equation is 6x4 −3x3 +8x2−x+2 = 0 Given: α+β = 0 Hence, α= −β Now, from the given equation α+β +γ+δ = 3/6 = 1/2 (α+β)(γ+δ)+αβ+γδ= 8/6 ...Algebra Factor 4x^2+6x+2 4x2 + 6x + 2 4 x 2 + 6 x + 2 Factor 2 2 out of 4x2 +6x+2 4 x 2 + 6 x + 2. Tap for more steps... 2(2x2 + 3x+1) 2 ( 2 x 2 + 3 x + 1) Factor. Tap for more steps... 2(2x+1)(x+1) 2 ( 2 x + 1) ( x + 1)(2 2 x 2 - 6x) + 5 = 0 Step 2 : Trying to factor by splitting the middle term 2.1 Factoring 4x 2-6x+5 The first term is, 4x 2 its coefficient is 4 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is +5 Step-1 : Multiply the coefficient of the first term by the constant 4 • 5 = 20 Rearrange into the form: (x−4)2 +(y−3)2 = 22 to identify the centre (4,3) and radius 2 ... Find the equations of the circles that have centre (0,0) and touch the circle x2 + y2 − 8x − 6y + 24 = 0. This does not need calculus, just a theorem from euclidean geometry. The given circle has centre (4,3) and radius 1 unit.Calculus Solve for x 6x^2-4x-2=0 6x2 − 4x − 2 = 0 6 x 2 - 4 x - 2 = 0 Factor the left side of the equation. Tap for more steps... 2(3x+1)(x−1) = 0 2 ( 3 x + 1) ( x - 1) = 0 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. 3x+1 = 0 3 x + 1 = 0 x−1 = 0 x - 1 = 0Pre-Algebra. Simplify 2+4 (6x-6) 2 + 4(6x − 6) 2 + 4 ( 6 x - 6) Simplify each term. Tap for more steps... 2+24x− 24 2 + 24 x - 24. Subtract 24 24 from 2 2. 24x−22 24 x - 22.Rearrange into the form: (x−4)2 +(y−3)2 = 22 to identify the centre (4,3) and radius 2 ... Find the equations of the circles that have centre (0,0) and touch the circle x2 + y2 − 8x − 6y + 24 = 0. This does not need calculus, just a theorem from euclidean geometry. The given circle has centre (4,3) and radius 1 unit.Polynomial Synthetic Division Calculator - apply polynomial synthetic division step-by-step.Calculate it! Examples: 1+2 , 1/3+1/4 , 2^3 * 2^2 (x+1) (x+2) (Simplify Example), 2x^2+2y @ x=5, y=3 (Evaluate Example) y=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a …y = - x2 + 6x - 4. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (3, 5) Focus: (3, 19 4) Axis of Symmetry: x = 3. Directrix: y = 21 4. Select a few x values, and plug them into the equation to find the corresponding y values. Example 1: How many real roots does the equation 2x 5 + 2x 4 – 11x 3 + 9x 2 – 4x + 2 = 0 will have? Solution: The given equation has 4 sign changes, so it can have a maximum of 4 positive real roots. Now, for f(-x), the equation has only one sign change, i.e. f (-x) = -x 5 + 2x 4 + x 3 + x 2 + x + 2 = 0. Hence, the equation will have only ...The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation). The function is F (x) = x3 - 4x2 + 6x - 2. At x= 0.00 F (x) is equal to -2.00. At x= 1.00 F (x) is equal to 1.00. Intuitively we feel, and justly so, that since F (x) is negative on one side of the interval, and positive on ... The discriminant. This online calculator calculates the discriminant of the quadratic polynomial, as well as higher degree polynomials. In algebra, the discriminant of a polynomial is a polynomial function of its coefficients, which allows deducing some properties of the roots without computing them. 1. You are probably aware of the well …Solve by Factoring x^2+6x=0. x2 + 6x = 0 x 2 + 6 x = 0. Factor x x out of x2 +6x x 2 + 6 x. Tap for more steps... x(x+6) = 0 x ( x + 6) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. x+6 = 0 x + 6 = 0. Set x x equal to 0 0.Le Club Accor members can earn 4x the number of points on stays at Accor's hip new 21c Museum Hotels brand now through June 17th. Stays must be completed prior to August 4th Le Club Accor members can earn 4x points on stays at one of Accor ...y = - x2 + 6x - 4. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (3, 5) Focus: (3, 19 4) Axis of Symmetry: x = 3. Directrix: y = 21 4. Select a few x values, and plug them into the equation to find the corresponding y values.Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute the values a = 4 a = 4, b = −6 b = - 6, and c = 2 c = 2 into the quadratic formula and solve for x x. 6±√(−6)2 − 4⋅(4⋅2) 2⋅4 6 ± ( - 6) 2 - 4 ⋅ ( 4 ⋅ 2) 2 ⋅ 4 Simplify. Tap for more steps... x = 3±1 4 x = 3 ± 1 4If α and β are the roots of the equation x 2 + 6 x + λ = 0 and 3 α + 2 β = − 20, then λ = View Solution. Q2. If α and β are zeroes of polynomial x square - 6x + a. Find value of "a" if 3α + 2β =20. View Solution. Q3. If α and β are zeroes of the quadratic polynomial x 2 − 6x + a; find the value of 'a' if 3α + 2β = 20.Q: If z² = x² + y² with z > 0, dx/dt = 2, and dy/dt = 6, find dz/dt when x = 6 and y = 8. dz dt Answer:… A: The Power Rule:The Chain Rule: Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x²…In terms of graphs, there are two intercepts for the graph of the function f(x) = 2x2 + 6x - 5. Example 9. 4x2 + 4x + 1 = 0. In this example a = 4, b = 4 ...Interactive online graphing calculator - graph functions, conics, and inequalities free of chargeDIKASIH INFO - Pertanyaan selesaikan pertidaksamaan berikut ini: a. 4 + 8x < 6x – 2 b. x² + 7x + 12 ≥ 0 ini sering ditanyakan oleh banyak mahasiswa.. Pasalnya, pertanyaan tentang selesaikan pertidaksamaan berikut ini: a. 4 + 8x < 6x – 2 b. x² + 7x + 12 ≥ 0 ini biasanya ditanyakan dalam Mata Kuliah Matematika. Salah satu yang sering …Calculator Use. This online calculator is a quadratic equation solver that will solve a second-order polynomial equation such as ax 2 + bx + c = 0 for x, where a ≠ 0, using the quadratic formula. The calculator solution will show work using the quadratic formula to solve the entered equation for real and complex roots.Section 2 Operations on polynomials Suppose h(x) = 3x2 + 4x+ 5 and k(x) = 7x2 3x: Addition/Subtraction: To add/subtract polynomials we combine like terms. Example 1 : We have h(x) + k(x) = 10x2 + x+ 5 Multiplication: To multiply polynomials we expand and then simplify their product.Click here👆to get an answer to your question ️ Prove the following: sin^2 6x - sin^2 4x = sin 2x ,sin 10xTo factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. How do you factor a trinomial? To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b. Rewrite the trinomial as the product of two binomials (x-u) (x-v)y = x2 - 6x + 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (3, - 7) Focus: (3, - 27 4) Axis of Symmetry: x = 3. Directrix: y = - 29 4. Select a few x values, and plug them into the equation to find the corresponding y values. 9x2+6x+1=0 One solution was found : x = -1/3 = -0.333 Step by step solution : Step 1 :Equation at the end of step 1 : (32x2 + 6x) + 1 = 0 Step 2 :Trying to factor by ... x2+6x+10=0 Two solutions were found : x = (-6-√-4)/2=-3-i= -3.0000-1.0000i x = (-6+√-4)/2=-3+i= -3.0000+1.0000i Step by step solution : Step 1 :Trying to factor by ...Ex 7.8, 19 ∫_0^2 (6𝑥 + 3)/(𝑥^2 + 4) 𝑑𝑥 Let F(𝑥)=∫1 〖(6𝑥 + 3)/(𝑥^2 + 4) 𝑑𝑥〗 =∫1 〖6𝑥/(𝑥^2 + 4) 𝑑𝑥+∫1 〖3/(𝑥^2 + 4) 𝑑𝑥 〗〗 Solving 𝑰𝟏 𝐼1=∫1 〖6𝑥/(𝑥^2 + 4) 𝑑𝑥〗 Put 𝑥^2 + 4=𝑡 Differentiating w.r.t.𝑥 𝑑/𝑑𝑥 (𝑥^2+4)=𝑑𝑡/𝑑𝑥 2𝑥+0=𝑑𝑡/𝑑𝑥 𝑑𝑥=𝑑𝑡/2𝑥 Therefore, ∫1 〖6𝑥/(𝑥^2Given the quadratic equation: ax^2+4x+1=0. The steps below illustrate a step by step solution strategy to solving a quadratic equation using the completing the square method. Step 1: If a\ne 1, divide the equation through by a to have a unity coefficient as the leading coefficient. The result will be . x^2+\frac{4}{a} x+\frac{1}{a}=0The procedure to use the distributive property calculator is as follows: Step 1: Enter an expression of the form a (b+c) in the input field. Step 2: Now click the button “Submit” to get the simplified expression. Step 3: Finally, the simplification of the given expression will be displayed in a new window.6x 2 + 9x + 2x + 3 – 3 = 0. 6x 2 + 11x = 0. x(6x + 11) = 0. So, x = 0 or 6x + 11 = 0. x = 0 or 6x = -11. x = 0 or x = -11/6. ∴ Value of x = 0, -11/6. 7. (i) 4x² + 4x + 1 = 0 (ii) (x – 4)² + 5² = 132. Solution: (i) 4x² + 4x + 1 = 0. Let us simplify the given equation, By factorizing, we get. 4x 2 + 2x + 2x + 1 = 0. 2x(2x + 1) + 1 (2x ...Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepUse the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute the values a = 4 a = 4, b = −6 b = - 6, and c = 2 c = 2 into the quadratic formula and solve for x x. 6±√(−6)2 − 4⋅(4⋅2) 2⋅4 6 ± ( - 6) 2 - 4 ⋅ ( 4 ⋅ 2) 2 ⋅ 4 Simplify. Tap for more steps... x = 3±1 4 x = 3 ± 1 44x2 − 20x + 25 = 0 by factoring and then using the Square Root Property, do you get the same result? Solve by using the Quadratic Formula: {r}^{2}+10r+25=0.09-Jan-2017 ... 4x2-6x+2=0 Помогите найти корни. Посмотри ответы прямо сейчас!2.2 Solving x2-6x-4 = 0 by Completing The Square . Add 4 to both side of the equation : x2-6x = 4. Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9. Add 9 to both sides of the equation : On the right hand side we have : 4 + 9 or, (4/1)+ (9/1) Algebra Factor 4x^2+6x+2 4x2 + 6x + 2 4 x 2 + 6 x + 2 Factor 2 2 out of 4x2 +6x+2 4 x 2 + 6 x + 2. Tap for more steps... 2(2x2 + 3x+1) 2 ( 2 x 2 + 3 x + 1) Factor. Tap for more …Similar Problems from Web Search. -x2-6x+28=0 Two solutions were found : x = (6-√148)/-2=3+√ 37 = 3.083 x = (6+√148)/-2=3-√ 37 = -9.083 Step by step solution : Step 1 : Step 2 :Pulling out like terms : 2.1 Pull out ... See a solution process below" Explanation: We can use the quadratic equation to solve this problem: The quadratic ...Aug 17, 2023 · To complete the square when a is greater than 1 or less than 1 but not equal to 0, divide both sides of the equation by a. This is the same as factoring out the value of a from all other terms. As an example let's complete the square for this quadratic equation: 2x2 − 12x + 7 = 0 2 x 2 − 12 x + 7 = 0. a ≠ 1, and a = 2, so divide all terms ... This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: This part of the question concerns the quadratic equation 4x 2 + 6x + 2 = 0. (i) Find the discriminant of the quadratic expression 4x 2 + 6x + 2. (ii) What does this discriminant tell you about the number of ...d/dx ((2x)^2) =d/dx (4x^2) =4 d/dx ( x^2) =4 * 2 * (x ^ (2-1)) =8x. ... Let f be any reasonably nice function — smooth is plenty good enough. Then \frac{\mathrm d}{\mathrm d x} \int_0^x f(t) ... 2\times 6x^{2-1} The derivative of ax^{n} is nax^{n-1}. 12x^{2-1} Multiply 2 times 6. 12x^{1} Subtract 1 from 2.Algebra. Solve by Completing the Square x^2-6x+5=0. x2 − 6x + 5 = 0 x 2 - 6 x + 5 = 0. Subtract 5 5 from both sides of the equation. x2 − 6x = −5 x 2 - 6 x = - 5. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b. (b 2)2 = (−3)2 ( b 2) 2 = ( - 3) 2.Solve by Factoring x^2+6x=0. x2 + 6x = 0 x 2 + 6 x = 0. Factor x x out of x2 +6x x 2 + 6 x. Tap for more steps... x(x+6) = 0 x ( x + 6) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. x+6 = 0 x + 6 = 0. Set x x equal to 0 0.Calculus Solve for x 6x^2-4x-2=0 6x2 − 4x − 2 = 0 6 x 2 - 4 x - 2 = 0 Factor the left side of the equation. Tap for more steps... 2(3x+1)(x−1) = 0 2 ( 3 x + 1) ( x - 1) = 0 If any …Pre-Algebra. Simplify 2+4 (6x-6) 2 + 4(6x − 6) 2 + 4 ( 6 x - 6) Simplify each term. Tap for more steps... 2+24x− 24 2 + 24 x - 24. Subtract 24 24 from 2 2. 24x−22 24 x - 22.Algebra. Find the Discriminant x^2-6x-4=0. x2 − 6x − 4 = 0 x 2 - 6 x - 4 = 0. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. b2 − 4(ac) b 2 - 4 ( a c) Substitute in the values of a a, b b, and c c. (−6)2 −4(1⋅−4) ( - 6) 2 - 4 ( 1 ⋅ - 4)Free second implicit derivative calculator - implicit differentiation solver step-by-step.2x2-4x+2=0 One solution was found : x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 4x) + 2 = 0 Step 2 : Step 3 :Pulling out like terms : ...Find p and q knowing their sum b = 4 and their product c = 40. Compose factor pairs of c = 40. Proceed: (1, 40) (2, 20) (4, ... x2+6x+1 Final result : x2 + 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+6x+1 The first term is, x2 its coefficient is 1 . The ...Free second implicit derivative calculator - implicit differentiation solver step-by-step.x2-6x-40=0 Two solutions were found : x = 10 x = -4 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x-40 The first term is, x2 its ... (2x2)- (6x)-4=0 Two solutions were found : x = (3-√17)/2=-0.562 x = (3+√17)/2= 3.562 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x ...Shawn qvc facebook, Klombo island code, Metronet outage wabash indiana, Ritual arctic fox on blonde hair, Columbus ohio craigslist org, How accurate is redfin estimate reddit, Lesbian pose reference, Naruto gifs 4k, Craigslist indpls pets, Honda accord 2010 fuse box location, Amazon upright freezers frost free, Lands end tankini tops and bottoms, Walmart tire sale 2023, Hopebeel leaked

Algebra. Solve by Completing the Square x^2-6x+5=0. x2 − 6x + 5 = 0 x 2 - 6 x + 5 = 0. Subtract 5 5 from both sides of the equation. x2 − 6x = −5 x 2 - 6 x = - 5. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b. (b 2)2 = (−3)2 ( b 2) 2 = ( - 3) 2.. Moon phase tonight florida

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Solve by Completing the Square x^2-6x-2=0. x2 − 6x − 2 = 0 x 2 - 6 x - 2 = 0. Add 2 2 to both sides of the equation. x2 − 6x = 2 x 2 - 6 x = 2. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b. (b 2)2 = (−3)2 ( b 2) 2 = ( - 3) 2. Add the term to each side of the equation.Solve 4x^2+6x+2=0 | Microsoft Math Solver Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Microsoft Math Solver SolvePracticeDownload SolvePractice Topics Pre-Algebra Mean Mode Greatest Common Factor Least Common MultiplePolynomial Roots Calculator : 3.1 Find roots (zeroes) of : F (x) = x4-4x3+7x2-6x-18. Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F (x)=0. Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers.4x2+6x+2=0 Two solutions were found : x = -1 x = -1/2 = -0.500 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 + 6x) + 2 = 0 Step 2 : Step 3 :Pulling out like ... What is the vertex form of f (x) = 6x2 + 4x − 3 ? The answer is = 6(x+ 31)2 − 911 Explanation: We look for the vertex form by completing the squares f (x ... Solve by Factoring 6x^2+x-2=0. Step 1. ... Step 4.2.2.3.1. Move the negative in front of the fraction. Step 5. The final solution is all the values that make true. 10-Sept-2014 ... Encuentra una respuesta a tu pregunta Necesito resolver: 4x2-6x+2=0.Rearrange into the form: (x−4)2 +(y−3)2 = 22 to identify the centre (4,3) and radius 2 ... Find the equations of the circles that have centre (0,0) and touch the circle x2 + y2 − 8x − 6y + 24 = 0. This does not need calculus, just a theorem from euclidean geometry. The given circle has centre (4,3) and radius 1 unit.Free functions vertex calculator - find function's vertex step-by-step.If a, b, and c are real numbers and a ≠ 0 then When b² − 4ac > 0, there are two distinct real roots or solutions to the equation ax² + bx + c = 0. When b² − 4ac = 0, there is one repeated real solution. When b² − 4ac < 0, there are two distinct complex solutions, which are complex conjugates of each other. Trinomial. Given quadratic equation is 5x 2−6x−2=0. →x 2− 56x− 52=0 (Divide on both sides by 5) →x 2−2(53)x+ 259 = 259 + 52 (add (53)2= 259 on both sides) →(x− 53)2= 2519. →x− 53=± 2519 (take square root on both sides) Thus, we have x= 53± 5 19= 53± 19. Hence, the solution set is { 53+ 19, 53− 19}. Solve any question of ...Ex 7.8, 19 ∫_0^2 (6𝑥 + 3)/(𝑥^2 + 4) 𝑑𝑥 Let F(𝑥)=∫1 〖(6𝑥 + 3)/(𝑥^2 + 4) 𝑑𝑥〗 =∫1 〖6𝑥/(𝑥^2 + 4) 𝑑𝑥+∫1 〖3/(𝑥^2 + 4) 𝑑𝑥 〗〗 Solving 𝑰𝟏 𝐼1=∫1 〖6𝑥/(𝑥^2 + 4) 𝑑𝑥〗 Put 𝑥^2 + 4=𝑡 Differentiating w.r.t.𝑥 𝑑/𝑑𝑥 (𝑥^2+4)=𝑑𝑡/𝑑𝑥 2𝑥+0=𝑑𝑡/𝑑𝑥 𝑑𝑥=𝑑𝑡/2𝑥 Therefore, ∫1 〖6𝑥/(𝑥^24x²-6x+2=0. 2(2x²-3x+1)=0 means : 2x²-3x+1 = 0 (x-1)(2x-1)=0. ... Subtract these polynomials, (x2 + 5x + 2) - (5x2 - x - 2) = A. - 4x2 + 6x+4 B. -4x2 + 4x + 0 c. 6x² + 6x + 4 D. 6x2 + 4x + 0 . star. 4.8/5. heart. 90. verified. Verified answer. Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his ...4x^{2}-6x+2=0 Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x^{2}+bx=c.Solve by Completing the Square x^2-6x-2=0. x2 − 6x − 2 = 0 x 2 - 6 x - 2 = 0. Add 2 2 to both sides of the equation. x2 − 6x = 2 x 2 - 6 x = 2. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b. (b 2)2 = (−3)2 ( b 2) 2 = ( - 3) 2. Add the term to each side of the equation. x^3 - 4x^2 + 6x - 24 = 0. Natural Language. Math Input. Extended Keyboard. Examples. Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.Highlights Intuitive touch screen CMOS image sensor SuperPhoto technology HyperSmooth 2.0 12.0MP photos Voice control Intuitive touch screenThree main capture... + SEE FULL PRODUCT DETAILS $349.00How do you factor completely x2 − 6x + 8 ? Neh Pandya Apr 29, 2016 For x2 −6x+8 =0 0 = x2−4x−2x+8 0 =x(x−4)−2(x−4) ... x2-6x+1 Final result : x2 - 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x+1 The first term is, x2 its coefficient is 1 .4x2+6x-1=0 Two solutions were found : x = (-6-√52)/8= (-3-√ 13 )/4= -1.651 x = (-6+√52)/8= (-3+√ 13 )/4= 0.151 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 + 6x) - 1 ... How do you solve 4x2 + 6x − 19 = 0 ? x= 4−3− 85, 4−3 + 85 Explanation: We have: 4x2+6x−19 = 0 Let's solve for x ...4x2-6x-18 Final result : 2 • (x - 3) • (2x + 3) Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 - 6x) - 18 Step 2 : Step 3 :Pulling out like terms : 3.1 Pull out ... x2-6x=-4 Two solutions were found : x = (6-√20)/2=3-√ 5 = 0.764 x = (6+√20)/2=3+√ 5 = 5.236 Rearrange: Rearrange the equation by subtracting what ...the answer. z (x)=6x^3+bx^2-52x+15 can be written. z (x)=6x^3+bx^2-52x+15= (x+5) (ax²+bx+c) because z (-5)=0, and since z (2)=35, we have 6.2^3+4b-104+15=35, we can find the value of b. 4b=76 so b=19. we can write z (x)=6x^3+19x^2-52x+15= (x+5) (ax²+bx+c)=az^3+ (b+5a)x²+5bx+10c. by identification, a=6, 15=10c, c =3/2.4x2+6x-1=0 Two solutions were found : x = (-6-√52)/8= (-3-√ 13 )/4= -1.651 x = (-6+√52)/8= (-3+√ 13 )/4= 0.151 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 + 6x) - 1 ... How do you solve 4x2 + 6x − 19 = 0 ? x= 4−3− 85, 4−3 + 85 Explanation: We have: 4x2+6x−19 = 0 Let's solve for x ...How do you solve 4x2 + 6x + 2 = 0? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Alan P. Jun 27, 2015 x = − 1 2 or x = −1 Explanation: Given 4x2 +6x +2 = 0 We can simplify this by dividing both sides by 2 XXXX2x2 + 3x +1 = 0 The left side can be factored fairly simply as XXXX(2x + 1)(x +1) = 0the discriminant is: Δ = b2 − 4ac. The discriminant can be used to characterize the solutions of the equation as: 1) Δ > 0 two separate real solutions; 2) Δ = 0 two coincident real solutions (or one repeated root); 3) Δ < 0 no real solutions. For example: x2 −x −2 = 0. Where: a = 1, b = −1 and c = −2.This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: This part of the question concerns the quadratic equation 4x 2 + 6x + 2 = 0. (i) Find the discriminant of the quadratic expression 4x 2 + 6x + 2. (ii) What does this discriminant tell you about the number of ...How to solve your inequality. To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own.x2-6x-40=0 Two solutions were found : x = 10 x = -4 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x-40 The first term is, x2 its ... (2x2)- (6x)-4=0 Two solutions were found : x = (3-√17)/2=-0.562 x = (3+√17)/2= 3.562 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x ... Algebra. Solve by Factoring 6x^2+4x=0. 6x2 + 4x = 0 6 x 2 + 4 x = 0. Factor 2x 2 x out of 6x2 +4x 6 x 2 + 4 x. Tap for more steps... 2x(3x+2) = 0 2 x ( 3 x + 2) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. 3x+2 = 0 3 x + 2 = 0.Solve by Factoring 6x^2-2x=0. 6x2 − 2x = 0 6 x 2 - 2 x = 0. Factor 2x 2 x out of 6x2 −2x 6 x 2 - 2 x. Tap for more steps... 2x(3x−1) = 0 2 x ( 3 x - 1) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. 3x−1 = 0 3 x - 1 = 0. Set x x equal to 0 0.2x2+6x-4=0 Two solutions were found : x = (-3-√17)/2=-3.562 x = (-3+√17)/2= 0.562 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 6x) - 4 = 0 Step 2 : Step 3 ... 3x2+6x-4=0 Two solutions were found : x = (-6-√84)/6=-1-1/3√ 21 = -2.528 x = (-6+√84)/6=-1+1/3√ 21 = 0.528 Step by step solution : Step 1 :Equation ... This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: This part of the question concerns the quadratic equation 4x 2 + 6x + 2 = 0. (i) Find the discriminant of the quadratic expression 4x 2 + 6x + 2. (ii) What does this discriminant tell you about the number of ... 2x2-6x+4=0 Two solutions were found : x = 2 x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x) + 4 = 0 Step 2 : Step 3 :Pulling out like terms : 3.1 ... 3x2-6x+4=0 Two solutions were found : x = (6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i x = (6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i Step by step solution : Step 1 ... Solve Solve for x x = 45+3 ≈ 1.309016994 x = 43− 5 ≈ 0.190983006 Steps Using the Quadratic Formula Steps for Completing the Square View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Quadratic Equation −4x2 +6x−1 = 0 Similar Problems from Web Search 4x2 + 6x − 1 = 0 http://www.tiger-algebra.com/drill/4x~2_6x-1=0/Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Step 2: Now click the button “Solve” to get the output. Step 3: The discriminant value will be displayed in the output field. Discriminant Definition. ... The standard discriminant form for the quadratic equation ax 2 + bx + c = 0 is. Discriminant, D = b 2 – 4ac. Where. a is the coefficient of x 2. b is the coefficient of x. c is a constant term. Frequently Asked …99. Factor. x^2-x-2. x2−x−2 x 2 - x - 2. 100. Evaluate. 2^2. 22 2 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Find p and q knowing their sum b = 4 and their product c = 40. Compose factor pairs of c = 40. Proceed: (1, 40) (2, 20) (4, ... x2+6x+1 Final result : x2 + 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+6x+1 The first term is, x2 its coefficient is 1 . The ...Highlights Intuitive touch screen CMOS image sensor SuperPhoto technology HyperSmooth 2.0 12.0MP photos Voice control Intuitive touch screenThree main capture... + SEE FULL PRODUCT DETAILS $349.00Find the Discriminant 4x^2+6x+2=0. 4x2 + 6x + 2 = 0 4 x 2 + 6 x + 2 = 0. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. b2 − 4(ac) b 2 - 4 ( a c) Substitute in the values of a a, b b, and c c. 62 − 4(4⋅2) 6 2 - 4 ( 4 ⋅ 2) Evaluate the result to find the discriminant.Jumlah dari 4x²+ 6 = - 52718692. 7 jam yang lalu Matematika Sekolah Dasar2x2-6x+4=0 Two solutions were found : x = 2 x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x) + 4 = 0 Step 2 : Step 3 :Pulling out like terms : 3.1 ... 3x2-6x+4=0 Two solutions were found : x = (6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i x = (6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i Step by step solution : Step 1 ... Rearrange into the form: (x−4)2 +(y−3)2 = 22 to identify the centre (4,3) and radius 2 ... Find the equations of the circles that have centre (0,0) and touch the circle x2 + y2 − 8x − 6y + 24 = 0. This does not need calculus, just a theorem from euclidean geometry. The given circle has centre (4,3) and radius 1 unit.Calculus Solve for x 6x^2-4x-2=0 6x2 − 4x − 2 = 0 6 x 2 - 4 x - 2 = 0 Factor the left side of the equation. Tap for more steps... 2(3x+1)(x−1) = 0 2 ( 3 x + 1) ( x - 1) = 0 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. 3x+1 = 0 3 x + 1 = 0 x−1 = 0 x - 1 = 0Click here👆to get an answer to your question ️ Factorise : x^2 + 6x + 8Solve by Completing the Square x^2+6x=0. Step 1. To create a trinomial square on the left side of the equation, ... Step 5.3.4.2. Subtract from . Step 5.3.5. 4x2+6x+2=0 Two solutions were found : x = -1 x = -1/2 = -0.500 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 + 6x) + 2 = 0 Step 2 : Step 3 :Pulling out like ...To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. How do you factor a trinomial? To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b. Rewrite the trinomial as …3.1 Find roots (zeroes) of : F (x) = 4x3-6x2+1. Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F (x)=0. Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers.2x2+6x-4=0 Two solutions were found : x = (-3-√17)/2=-3.562 x = (-3+√17)/2= 0.562 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 6x) - 4 = 0 Step 2 : Step 3 ... 3x2+6x-4=0 Two solutions were found : x = (-6-√84)/6=-1-1/3√ 21 = -2.528 x = (-6+√84)/6=-1+1/3√ 21 = 0.528 Step by step solution : Step 1 :Equation ... y = x2 - 6x + 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (3, - 7) Focus: (3, - 27 4) Axis of Symmetry: x = 3. Directrix: y = - 29 4. Select a few x values, and plug them into the equation to find the corresponding y values.24-Jan-2019 ... We have. 6x2 – x – 2 = 6x2 + 3x – 4x – 2. = 3x (2x + 1) – 2 (2x + 1). = (3x – 2)(2x + 1). The roots of 6x2 – x – 2 = 0 are the values of x ...2x2-4x+2=0 One solution was found : x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 4x) + 2 = 0 Step 2 : Step 3 :Pulling out like terms : ...The sum of the roots of the equation x2 – 6x + 2 = 0 is (A) 2 (B) -2 (C) 6 (D) -6 ... If α, β, γ, δ are roots of x^4 + 4x^3 – 6x^2 + 7x – 9 = 0, then the value of (1 + α^2)(1 + β^2)(1 + γ^2)(1 + δ^2) is. asked Nov 21, 2022 in Quadratic Equations by Shrinivas (56.5k points) quadratic equations; class-12;3x2+6x+9 Final result : 3 • (x2 + 2x + 3) Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 + 6x) + 9 Step 2 : Step 3 :Pulling out like terms : 3.1 Pull out like ... x2+6x+1 Final result : x2 + 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+6x+1 The first term is, x2 ...Click here👆to get an answer to your question ️ Prove the following: sin^2 6x - sin^2 4x = sin 2x ,sin 10x. Solve Study Textbooks Guides. Join / Login >> Class 11 >> Maths >> Trigonometric Functions >> Trigonometric Equations >> Prove the following: sin^2 6x - sin^2 4x. Question . Prove the following: ... (2 1 0 x ) cos (2 2 x )] [2 ...x2+6x+2 Final result : x2 + 6x + 2 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+6x+2 The first term is, x2 its coefficient is 1 . The .... Magiccity777, Straight talk refill cards near me, Craiglist.com el paso, Hxhamstet, Ebay heavy machinery, Walmart redbox near me, Craigslist cars and trucks for sale by owner nashville tn, Appointment canceled, Sharpened blade w101, Tvtango.com, Lesly center resultat midi 30, Yandere harry potter x innocent reader, Heidilavon leak, 123 movies love island season 9, Oc hair recovery studio, Fmovie to, Unit 4 lesson 6 practice problems answer key, Kbb bike.