# How do you solve (x - 13) ^ { 2} = 45?

Jun 17, 2018

$x = \pm \sqrt{45} + 13$

#### Explanation:

We want to find the value of x, so we try to isolate.
we can take the square root of both sides which removes the squared from the brackets.

$\sqrt{{\left(x - 13\right)}^{2}} = \pm \sqrt{45}$
$x - 13 = \pm \sqrt{45}$

Then we just add 13 to both sides and we are left with

$x = \pm \sqrt{45} + 13$

Jun 17, 2018

Take square root and rearrange to get the two answers

#### Explanation:

${\left(x - 13\right)}^{2} = 45$

Take square root:
$x - 13 = \pm \sqrt{45} = \pm 3 \sqrt{5}$

$x = 13 \pm 3 \sqrt{5}$