Question

What are the solutions to

Answer 1

Answer:

B and F

Step-by-step explanation:

Given

x² + 4x + 4 = 12 ( subtract 4 from both sides )

x² + 4x = 8

Using the method of completing the square to solve for x

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

x² + 2(2)x + 4 = 8 + 4, that is

(x + 2)² = 12 ( take the square root of both sides )

x + 2 = ± $\sqrt{12}$ ( subtract 2 from both sides )

x = ± $\sqrt{12}$ - 2

  = ± 2$\sqrt{3}$ - 2

Hence

x = 2$\sqrt{3}$ - 2 → B

x = - 2$\sqrt{3}$ - 2 → F