Answer
complex but not real numbers
Work Step by Step
Using the properties of equality, the given equation, $
(2y-5)^2+7=3
,$ is equivalent to
\begin{array}{l}\require{cancel}
(2y-5)^2=3-7
\\\\
(2y-5)^2=-4
.\end{array}
Since the right side of the equation, $
(2y-5)^2=-4
,$ is less than zero, then the solutions of the given equation are $\text{
complex but not real numbers
.}$
