Question

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

x=10
, x=−8

x equals 10 , x equals negative 8

x=2
, x=−4

x equals 2 , x equals negative 4

x=−2
, x=4

x equals negative 2 , x equals 4

x=−10
, x=8

x equals negative 10 , x equals 8

Answer 1

x^2 + 2x − 8 = 0
x^2 + 2x = 8
Add (2/2)^2 = 1 to both sides: x^2 + 2x + 1 = 9
(x + 1)^2 = 9
x + 1 = ±3 → x = -1 ± 3

So x = 2 or x = −4.