# How do you solve (x-2)^2=25?

Sep 12, 2016

$x = - 3 , 7$

#### Explanation:

We have: ${\left(x - 2\right)}^{2} = 25$

First, let's take the square root of both sides of the equation:

$\implies x - 2 = \pm 5$

Then, let's add $2$ to both sides:

$\implies x = 2 \pm 5$

$\implies x = - 3 , 7$

Therefore, the solutions to the equation are $x = - 3$ and $x = 7$.