# How do you solve (x - 5)^2 = 2?

Mar 6, 2018

$x = 5 \pm \sqrt{2}$

#### Explanation:

$\textcolor{b l u e}{\text{take square root of both sides}}$

$\Rightarrow \sqrt{{\left(x - 5\right)}^{2}} = \pm \sqrt{2} \leftarrow \textcolor{b l u e}{\text{note plus or minus}}$

$\Rightarrow x - 5 = \pm \sqrt{2}$

$\text{add 5 to both sides}$

$\Rightarrow x = 5 \pm \sqrt{2} \leftarrow \textcolor{red}{\text{exact values}}$