# How do you solve (x – 5)^2 = 3?

##### 1 Answer
Apr 20, 2017

Use the square root on both sides; remember to use $\pm$ on the right.
Solve both equation for x.

#### Explanation:

Given: (x – 5)^2 = 3

Use the square root on both sides:

x – 5 = +-sqrt3

Add 5 to both sides:

$x = 5 \pm \sqrt{3}$

This breaks into two equations:

$x = 5 + \sqrt{3}$ and $x = 5 - \sqrt{3}$