Answer
real numbers
Work Step by Step
Using the properties of equality, the given equation, $
4x^2=17
,$ is equivalent to
\begin{array}{l}\require{cancel}
x^2=\dfrac{17}{4}
.\end{array}
Since the right side of the equation, $
x^2=\dfrac{17}{4}
,$ is greater than or equal to zero, then the solutions of the given equation are $\text{
real numbers
.}$