# How do you solve 10n^2+2=292?

Mar 17, 2017

$\pm \sqrt{29}$ or $\pm 5.38516481$

#### Explanation:

Subtract 2 from both sides.

$10 {n}^{2} + \cancel{2} - \cancel{2} = \cancel{292 - 2} 290$

Divide both sides by 10.

$\frac{\cancel{10} {n}^{2}}{\cancel{10}} = \frac{\cancel{290} 29}{\cancel{10}}$

Square root both sides.

$\sqrt{{n}^{2}} = \sqrt{29}$

$\cdot$Remember to include both the positive and negative square root answers.

$n = \pm \sqrt{29}$

$\cdot$If a decimal answer is needed, find it using a calculator.

$\pm \sqrt{29} = \pm 5.38516481$