# How do you solve 5 * [sqrt( a - 3 )] - 10 = 0?

Apr 24, 2016

#### Explanation:

$5 \sqrt{a - 3} = 10$

$\sqrt{a - 3} = 2$

${\left(\sqrt{a - 3}\right)}^{2} = {\left(2\right)}^{2}$

$a - 3 = 4$

$a = 7$

Checking this solution in the original equation we find that it doesn't work. Thus, there is no solution to this equation; it has a solution set $\left\{\emptyset\right\}$

Hopefully this helps!