# How do you solve  3sqrt(2x)=4 and find any extraneous solutions?

Jul 8, 2017

See below.

#### Explanation:

$3 \sqrt{2 x} = 4$

$\sqrt{2 x} = \frac{4}{3}$

$2 x = \frac{16}{9}$

$x = \frac{8}{9}$

There will be extraneous solutions ONLY if the equation equals a negative number, or if the number inside the radical is imaginary. Since this does not describe our equation, there are no extraneous solutions.