Answer
real numbers
Work Step by Step
Using the properties of equality, the given equation, $
3z^2=10
,$ is equivalent to
\begin{array}{l}\require{cancel}
z^2=\dfrac{10}{3}
.\end{array}
Since the right side of the equation, $
z^2=\dfrac{10}{3}
,$ is greater than or equal to zero, then the solutions of the given equation are $\text{
real numbers
.}$
