How do you solve \sqrt { 3x - 22} = \sqrt { 10- x }?

1 Answer
Nov 14, 2016

x=8

Explanation:

We need to get rid of the radicals (square roots), so square both sides.

(sqrt(3x - 22))^2 = (sqrt(10-x))^2

Now we have, which is much easier to deal with

3x-22=10-x

Add the variable x to both sides.

4x-22= 10

Add 22 to both sides.

4x= 32

Divide both sides by 4 to isolate x

x=8

Hope that helps!