# How do you solve (x-1)^2=49?

Jul 11, 2015

I found:
${x}_{1} = 8$
${x}_{2} = - 6$

#### Explanation:

Take the square root of both sides and get:
$x - 1 = \pm \sqrt{49} = \pm 7$
rearranging to isolate $x$ you get two solutions:
${x}_{1} = 1 + 7 = 8$
${x}_{2} = 1 - 7 = - 6$