Question

When using the method of completing the square to solve the quadratic equation x²−9x−8=0, which number would need to be added to "complete the square"?

Answer 1

81/4

Explanation:

To complete the square for the quadratic equation x^2 −9x−8=0, you need to add (b/2)^2 to both sides, where b is the coefficient of the linear term (−9x).

In this case, b=−9, so: (b/2)^2=(-9/2)^2=81/4

So, to complete the square for the equation x^2−9x−8=0, you would need to add 81/4 to both sides.