# How do you solve x^2-2=7?

Nov 3, 2016

$x = \pm 3$

#### Explanation:

The first step is to add 2 to both sides of the equation, thus isolating the ${x}^{2}$ term on the left side.

${x}^{2} \cancel{- 2} \cancel{+ 2} = 7 + 2$

$\Rightarrow {x}^{2} = 9$

Take the $\textcolor{b l u e}{\text{square root }}$ of both sides.

$\sqrt{{x}^{2}} = \pm \sqrt{9}$

$\Rightarrow x = \pm 3$