What are the solutions to
x^2+4x+4=12
a. x=2√3+2
b. x=2√3-2
c=-√2+12
d=√2+12
e=-2√3+2
f=-2√3-2

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 = ± ( subtract 2 from both sides )

x = ± - 2

  = ± 2 - 2

Hence

x = 2 - 2 → B

x = - 2 - 2 → F