# How do you solve (3x-4)^2=42?

Jun 9, 2017

See below.

#### Explanation:

We take the square root of both sides.

$3 x - 4 = \pm \sqrt{42}$

$3 x = \pm \sqrt{42} + 4$

$x = \frac{\pm \sqrt{42} + 4}{3}$