Answer
$x=3\pm\sqrt{7}$
Work Step by Step
Using the completing the square method, the solutions to the given equation, $
x^2-6x=-2
$, are
\begin{array}{l}\require{cancel}
x^2-6x+\left( \dfrac{-6}{2} \right)^2=-2+\left( \dfrac{-6}{2} \right)^2
\\\\
x^2-6x+9=-2+9
\\\\
(x-3)^2=7
\\\\
x-3=\pm\sqrt{7}
\\\\
x=3\pm\sqrt{7}
.\end{array}
