Solve the quadratic equation by completing the square.

x = - 1, x = 8

Step-by-step explanation:

Given

x² - 7x - 8 = 0 ( add 8 to both sides )

x² - 7x = 8

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- )x + = 8 + =

(x - )² = ( take the square root of both sides )

x - = ± = ± ( add to both sides )

x = ±

Thus

x = - =   = - 1

x = + = = 8

step-by-step explanation:

y=mx+