# How do you solve  (x-7)^2=9?

Apr 7, 2016

$x = 10 , 4$

#### Explanation:

${\left(x - 7\right)}^{2} = 9$

Square root both sides to get rid of the ${\left(\right)}^{2}$. This gives two answers: $3$ and $- 3$. Begin by solving with the answer $3$.

$x - 7 = 3$

Add $7$ to get rid of the $- 7$

$x = 10$

Now for $- 3$,

$x - 7 = - 3$
$x = 4$