Which of the following are solutions to the quadratic equation? Check all that apply.
x2 + 8x + 16 = 7

x = - 4 ±

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

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

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± ( subtract 4 from both sides )

x = - 4 ±

Then

solutions are x = - 4 - , x = - 4 +