Answer:
C and F
Step-by-step explanation:
You have to get everything on one side of the equation and then throw it into the quadratic formula. The equation in standard form is
[tex]x^2-6x-2=0[/tex]
Plugging into the quadratic formula gives you this:
[tex]x=\frac{6+/-\sqrt{(-6)^2-4(1)(-2)} }{2(1)}[/tex]
Simplifying that gives you:
[tex]x=\frac{6+/-\sqrt{44} }{2}[/tex]
The square root of 44 simplifies so we have this:
[tex]x=\frac{6+/-2\sqrt{11} }{2}[/tex]
which then simplifies finally to:
[tex]x=3+/-\sqrt{11}[/tex]
So the 2 solutions are
[tex]x=3+\sqrt{11}[/tex] and [tex]x=3-\sqrt{11}[/tex]
