Question

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

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

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

Answer 1

x^2 + 2x − 8 = 0
x^2 + 2x = 8
Add 1 to both sides: x^2 + 2x + 1 = 9
(x + 1)^2 = 9
x + 1 = ±3 → x = 2 or x = −4

Answer: x = 2, x = −4.