# How do you solve sqrt(2x - 14) = sqrt(x + 17) and find any extraneous solutions?

May 3, 2017

Take squares (of both sides) and then you will find $x = 31$

#### Explanation:

Your equation indeed becomes $2 x - 14 = x + 17$ after getting rid of square roots.

It means

$2 x - x = 17 + 14$

or

$x = 31$

This is your answer: $x = 31$