Consider the equation: x 2 + 2 x − 8 = 0

Question

A) First, use the "completing the square" process to write this equation in the form ( x + D ) 2 = E and enter your results below. x^2 + 2 x − 8 = 0 is equivalent to:

Answer 1

x^2 +2x -8 = 0

complete the square

x^2 + 2x + 1 = 8 + 1 = 9

(x+1)^2 = 9 = 3^2

x+1 = + or - 3

x = -3-1 or 3-1 = -4 or 2

x = 2 or -4