Answer
$${\text{hyperbola}}$$
Work Step by Step
$$\eqalign{
& 3{y^2} - 5{x^2} = 30 \cr
& {\text{Divide both sides by 30}} \cr
& \frac{{3{y^2}}}{{30}} - \frac{{5{x^2}}}{{30}} = \frac{{30}}{{30}} \cr
& \frac{{{y^2}}}{{10}} - \frac{{{x^2}}}{6} = 1 \cr
& {\text{The equation is written in the form }}\frac{{{y^2}}}{{{a^2}}} - \frac{{{x^2}}}{{{b^2}}} = 1\, \cr
& {\text{Therefore,}} \cr
& {\text{The graph of the equation is a hyperbola}} \cr} $$
