Question

Solve. x2 = 6x – 6

a.) x = 3 ± sqrt 3
b.) x = 6 ± sqrt 3
c.) x = 3 ± sqrt 30
d.) x = 3 ± sqrt 6

Answer 1

Here is the steps to solve it.

Answer 2

First manipulate the equation until all the terms are on one side.

\[x^2-6x+6=0\]
Then use the quadratic formula to obtain the solutions because it cannot be factoring using trinomial techniques.

\[(-b \pm \sqrt{b^2-4ac})/2a\] Based on this quadratic equation give, a=1, b=-6, and c=6
Substituting we get
\[(6\pm \sqrt{(-6)^2-4(1)(6)})/2(1)\]This simplifies to\[(6\pm \sqrt{12})/2\]Which further simplifies to \[3\pm \sqrt{3}\]

Answer 3

Thank you! Much appreciation.

Answer 4

You could have used completing the square, but using the quadratic formula is essentially completing the square.