Question

How to solve this equation by extracting square roots?
1. 9x^2=36
2. (x-12)^2=16
3. (x-5)^2=25
4. (x+2)^2=14
5. (4x+7)^2=44
6. (x+5)^2=(x+4)^2

Answer 1

1) Can you first solve for x^2?

Answer 2

You can solve all of these equations by taking the square root of both sides, like

\[ \Large a^2 = b \iff a = \pm \sqrt b \]

In all but 4 and 5, both sides are perfect squares, so you end up with no radicals in the final answer. In all except number 6, you find two root because of the plus-minus.