Answer
ellipse
Work Step by Step
Given: $25x^{2}+4y^{2}=100$
Divide both sides by $100$
$\frac{25x^{2}}{100}+\frac{4y^{2}}{100}=1$
$\frac{x^{2}}{2^{2}}-\frac{y^{2}}{5^{2}}=1$
which is the standard form of the equation of a ellipse.