Question

Which of the following are solutions to the equation below?

check all that apply. x^2+6x+9=6
A. x=3+√6
B. x=3-√6
C. x=3
D. x=0
E. x=-3+√6
F. x= -3-√6

Answer 1

make it equal to zero
minus 6 from both sides
x^2+6x+3=0
quadratic formula
x=
`\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}`


x=
`\frac{-6+/- \sqrt{6^(2)-4(1)(3)} }{2(1)}`
x=
`(-6+/- √(36-12) )/(2)`
x=
`(-6+/- √(24) )/(2)`
x=
`(-6+/- 2√(6) )/(2)`
x=
`-3+/- √(6)`


E and F are answer