# How do you solve sqrt(7x-4)=13?

May 8, 2017

$7 x - 4 = 169$ or $x = \frac{173}{7}$

#### Explanation:

Get rid of square root of the first term by taking 2nd power of both sides:

Now you will have

${\left\{{\left(7 x - 4\right)}^{0.5}\right\}}^{2} = {13}^{2}$

$7 x - 4 = 13 \cdot 13$

$7 x = 169 + 4$

$7 x = 173$

$x = \frac{173}{7}$

$x = \frac{173}{7}$