# How do you solve  (x-1)^2 > 4 ?

Jun 15, 2018

$x > 3$ and $x < - 1$

#### Explanation:

Let's start by taking the square root of both sides. We get

$x - 1 > 2$ and $x - 1 < - 2$

NOTE: The inequality flips for the negative square root

Adding $1$ to both sides of both equations, we get two solutions:

$x > 3$ and $x < - 1$

Hope this helps!