# How do you solve 9v ^ { 2} - 8= 217?

May 10, 2018

$v = 5$

#### Explanation:

As per the question, we have

$9 {v}^{2} - 8 = 217$

$\therefore 9 {v}^{2} = 217 + 8$

$\therefore 9 {v}^{2} = 225$

$\therefore {\left(3 v\right)}^{2} = {\left(15\right)}^{2}$

$\therefore 3 v = 15$

$\therefore v = \frac{15}{3}$

$\therefore v = 5$