Answer
$${\text{ellipse}}$$
Work Step by Step
$$\eqalign{
& \frac{{{x^2}}}{{25}} + \frac{{{y^2}}}{{36}} = 1 \cr
& {\text{or}} \cr
& \frac{{{x^2}}}{{{{\left( 5 \right)}^2}}} + \frac{{{y^2}}}{{{{\left( 6 \right)}^2}}} = 1 \cr
& {\text{The equation is written in the form }}\frac{{{x^2}}}{{{b^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1\,\,\,\,\left( {{\text{Where }}a > b} \right) \cr
& {\text{Therefore,}} \cr
& {\text{The graph of the equation }}\frac{{{x^2}}}{{25}} + \frac{{{y^2}}}{{36}} = 1{\text{ is an ellipse}} \cr} $$
