# How do you solve (x-1)^2=9?

Mar 17, 2018

$x = 4 , - 2$

#### Explanation:

We have:

${\left(x - 1\right)}^{2} = 9$

Taking the square root of both sides,

$\sqrt{{\left(x - 1\right)}^{2}} = \sqrt{9}$

$x - 1 = \pm 3$

$x = \pm 3 + 1$

$x = 4 , - 2$

Mar 17, 2018

$x = 4$ & $x = - 2$

#### Explanation:

We can start by taking the $\pm$ square root of both sides. We get:

$x - 1 = \pm 3$

We can now break up our equation into the following:

$x - 1 = 3$ & $x - 1 = - 3$

We can solve the equations by adding $1$ to both sides yielding:

$x = 4$ & $x = - 2$