Question

I dont understand this problem

Answer 1

D and F

Explanation:

`x^(2)+4x+4=12` can be rewritten as
`x^(2) +4x-8=0`.

From there you can use the quadratic formula
`x=\frac{-b±\sqrt{b^(2)+4ac } }{2a}` (ignore the A, I can‘t seem to remove it), where a=1, b=4, and c=-8.

`x=\frac{-4±\sqrt{4^(2)-4(1)(-8)} }{2(1)}`

Then you get
`x=(-4±√(16+32))/(2)`

Then you get
`x=(-4±√(48) )/(2)`

So
`x=-2±(4√(3) )/(2)`

Which means
`x=-2+2√(3)` or
`-2-2√(3)` which are choices D and F.