which of the following are solutions to the equation below?

check all that apply.


x^2+4x+4=6

Ax=-2+√6

Bx=2

Cx=-2-√6

Dx=0

Ex=2-√6

F. x=2+√6

Verified Answer :

solve
set to zero by  minusing 6 both sides

x^2+4x-2=0

we can't factor

ok so use quadratic formula
ax^2+bx+c=0
x=\(\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}\)

a=1
b=4
c=-2

x=\(\frac{-4+/- \sqrt{4^{2}-4(1)(-2)} }{2(1)}\)
x=\(\frac{-4+/- \sqrt{16+8} }{2}\)
x=\(\frac{-4+/- \sqrt{24} }{2}\)
x=\(\frac{-4+/- 2\sqrt{6} }{2}\)
x=\(-2+/- \sqrt{6}\)


x=\(-2+ \sqrt{6}\) or \(-2- \sqrt{6}\)

answer is A and C