Question

Which of the following are solutions to the equation below? check all that apply. 9x^2-6x+1=7

Answer 1

The answer is C and D

First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation 9x^2 - 6x - 6 = 0 

Then we will use the quadratic formula to find the answers.

using the Quadratic Formula where:
a = 9, b = -6, and c = -6

and the formula is 6 +- $\sqrt{6^2 - 4(9)(-6)}$ / 2(9)

Answer 2

Lets go ahead and factor this out.

9x²-6x-6 = 0

Using quadratic formula, we will get 6 +/- √(-6)²-4(9)(-6) all over 2(9)

Simplified to 6+/- √36+216 all over 18
6+/- √252 / 18

Simplifying √252, we get 6√7

Then, we can get 6+/- 6√7 / 18

Possible answers are A, C

Hope this helps