# How do you solve 9n^2+10=91?

Feb 6, 2017

$n = \pm 3$

#### Explanation:

$9 {n}^{2} + 10 = 91$

$\rightarrow 9 {n}^{2} = 81$ (after subtracting $10$ from each side)

$\rightarrow {n}^{2} = 9$ (after dividing both sides by $9$)

$\rightarrow n = \pm 3$ (the two possible values which squared are equal to $9$)