Question

Complete the square to solve the following quadratic equation: x2+2x−8=0.(1 point)
Responses

x=2, x=−4
x equals 2 , x equals negative 4

x=10, x=−8
x equals 10 , x equals negative 8

x=−10, x=8
x equals negative 10 , x equals 8

x=−2, x=4
x equals negative 2 , x equals 4

Answer 1

x^2 + 2x − 8 = 0
x^2 + 2x = 8
(x + 1)^2 − 1 = 8 → (x + 1)^2 = 9
x + 1 = ±3 → x = 2 or x = −4

So x = 2, x = −4.