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Why does the method completing the square fit the equation 4x2-8x-5 equals 0?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form ( (x - p)^2 = q ). For the equation ( 4x^2 - 8x - 5 = 0 ), we first factor out 4 from the quadratic terms to get ( 4(x^2 - 2x) - 5 = 0 ). Then, we complete the square for ( x^2 - 2x ) by adding and subtracting 1, leading to ( 4((x - 1)^2 - 1) - 5 = 0 ). This allows us to solve for ( x ) easily by isolating the squared term.


Explain how to solve x2 plus 8x -2 equals 0 by completing the square?

x² + 8x -2 = 0 x² + 8x = 2 x² + 8x + (8/2)² = 2 + (8/2)² x² + 8x + 16 = 2 + 16 (x + 4)² = 18 x + 4 = ±√18 x = -4 ±√18 x = -4 + √18 or x = -4 - √18 if you are still confused, i want you to follow the related link that explains the concept of completing the square clearly.


What mUst you add to complete the square of x2 plus 8x equals -3?

To complete the square for the equation (x^2 + 8x = -3), you need to add ((\frac{8}{2})^2 = 16) to both sides of the equation. This transforms the left side into a perfect square trinomial, resulting in (x^2 + 8x + 16 = 13). Thus, the term you must add is 16.


How many solutions are there to the equation below 8x plus 11 8x plus 8?

To find the number of solutions to the equation (8x + 11 = 8x + 8), we can simplify it by subtracting (8x) from both sides, resulting in (11 = 8). This is a false statement, indicating that there are no values of (x) that can satisfy the equation. Therefore, there are zero solutions to this equation.


Is x equals 1 a solution of the equation 2 - 8x?

No. That is because 2 - 8x is an algebraic expression, not an equation. And since it is not an equation, it does not have a solution.

Related Questions

Why does the method completing the square fit the equation 4x2-8x-5 equals 0?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form ( (x - p)^2 = q ). For the equation ( 4x^2 - 8x - 5 = 0 ), we first factor out 4 from the quadratic terms to get ( 4(x^2 - 2x) - 5 = 0 ). Then, we complete the square for ( x^2 - 2x ) by adding and subtracting 1, leading to ( 4((x - 1)^2 - 1) - 5 = 0 ). This allows us to solve for ( x ) easily by isolating the squared term.


Explain how to solve x2 plus 8x -2 equals 0 by completing the square?

x² + 8x -2 = 0 x² + 8x = 2 x² + 8x + (8/2)² = 2 + (8/2)² x² + 8x + 16 = 2 + 16 (x + 4)² = 18 x + 4 = ±√18 x = -4 ±√18 x = -4 + √18 or x = -4 - √18 if you are still confused, i want you to follow the related link that explains the concept of completing the square clearly.


What mUst you add to complete the square of x2 plus 8x equals -3?

To complete the square for the equation (x^2 + 8x = -3), you need to add ((\frac{8}{2})^2 = 16) to both sides of the equation. This transforms the left side into a perfect square trinomial, resulting in (x^2 + 8x + 16 = 13). Thus, the term you must add is 16.


What is the equation of 8x-2 equals 14?

[ 8x - 2 = 14 ] is the equation.[ x = 2 ] is the solution to the equation.


How do you rewrite the equation -8x-5y-45?

-8x-5y-45 is not an equation. An equation requires an equal sign in there somewhere. If you meant -8x-5y=45, then there are many ways to rewrite it, such as -(8x+5y)=45, or 8x+5y=-45, or 8x=-(45+5y), to name three. If you meant -8x-5y=-45, then you're probably looking for 8x+5y=45.


How many solutions are there to the equation below 8x plus 11 8x plus 8?

To find the number of solutions to the equation (8x + 11 = 8x + 8), we can simplify it by subtracting (8x) from both sides, resulting in (11 = 8). This is a false statement, indicating that there are no values of (x) that can satisfy the equation. Therefore, there are zero solutions to this equation.


Is x equals 1 a solution of the equation 2 - 8x?

No. That is because 2 - 8x is an algebraic expression, not an equation. And since it is not an equation, it does not have a solution.


How do you solve 8x 120?

8x = 120divide the equation by 8 8x/8 = 120/8 x = 15


What is the square root of 8x?

The square root of 8x can be simplified as √8x = √(4*2x) = 2√2x. This is because we can break down 8 into 4 and 2, and since the square root of 4 is 2, we can pull it out of the square root. Therefore, the simplified form of the square root of 8x is 2√2x.


What is 8x plus 5y100?

If you mean 8x+5y = 100 then it is a straight line equation


Explain how to solve x2 plus 8x -2 equals 0 by completing a square?

x2 + 8x - 2 = 0 => x2 + 8x = 2 => x2 + 8x + 16 = 2 + 16 = 18 => (x + 4)2 = 18 => x + 4 = +or- sqrt(18) = +or- 3*sqrt(2) so x = -4 +or- 3*sqrt(2)


Find the factors of x3-5x2 8x-4 how to solve this equation?

5x2-8x-4