# How do you solve  3x^2=48?

Mar 4, 2018

$x = \pm 4$

#### Explanation:

We begin by dividing both sides by $3$:

$\frac{\cancel{3} {x}^{2}}{\cancel{3}} = \frac{48}{3}$

${x}^{2} = 16$

Take the square root on both sides (and don't forget the negative root):

$\sqrt{{x}^{2}} = \pm \sqrt{16}$

$x = \pm 4$