# How do you solve  10+1/3x^2=18?

Jul 4, 2016

#### Answer:

$x = \pm 2 \sqrt{6}$

#### Explanation:

$10 + \frac{1}{3} {x}^{2} = 18$

Subtract 10 from both sides

$\frac{1}{3} {x}^{2} = 8$

Multiply both sides by 3

${x}^{2} = 24$

Take square root of both sides:

$x = \pm \sqrt{24} = \pm \sqrt{4} \sqrt{6} = \pm 2 \sqrt{6}$