Answer
(a) $x=3$ is not a solution.
(b) $x=0$ is a solution.
(c) $x=\frac{3}{2}$ is a solution.
(d) $x=-5$ is not a solution.
Work Step by Step
$x^2-3\lt0$
(a) $3^2-3=6\gt0$
(b) $0^2-3=-3\lt0$
(c) $(\frac{3}{2})^2-3=\frac{9}{4}-3=\frac{-3}{4}\lt0$
(d) $(-5)^2-3=22\gt0$