Answer
no solution
Work Step by Step
Using the properties of equality, the given equation, $
\sqrt{x^2-7}+3=0
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{x^2-7}=-3
.\end{array}
The left side of the equation above always gives a non negative value. This will never be equal to the negative value at the right. Hence, there is $\text{
no solution
.}$
