Answer
Ellipse
Work Step by Step
We can see that x and y are on the power of two and there is an addition between the two. However they are not with the same coefficient, therefore the equation will be an ellipse.
This given equation can be easily transformed to the general equation of an ellipse: $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
Here, it is:
$\frac{x^2}{7^2}+\frac{y^2}{10^2}=1$