Question

Which of the following are solutions to the equation below x^2-6x+9=11

Answer 1

C and F

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

`x^2-6x-2=0`

Plugging into the quadratic formula gives you this:

`x=(6+/-√((-6)^2-4(1)(-2)) )/(2(1))`

Simplifying that gives you:

`x=(6+/-√(44) )/(2)`

The square root of 44 simplifies so we have this:

`x=(6+/-2√(11) )/(2)`

which then simplifies finally to:

`x=3+/-√(11)`

So the 2 solutions are

`x=3+√(11)` and
`x=3-√(11)`