Question

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

Answer 1

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

Explanation:

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

It means

`2x-x=17+14`

or

`x=31`

This is your answer: `x=31`