Angellcx
Answered

which of the following are solutions to the equation below?
check all that apply.

x^2+4x+4=6

A. x=-2+√6

B. x=2

C. x=-2-√6

D. x=0

E. x=2-√6

F. x=2+√6

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=[tex] \frac{-b+/- \sqrt{b^{2}-4ac} }{2a} [/tex]

a=1
b=4
c=-2

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


x=[tex] -2+ \sqrt{6} [/tex] or [tex] -2- \sqrt{6} [/tex]

answer is A and C


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