Answer
$\frac{x^2}{64}+\frac{y^2}{39}=1$
Work Step by Step
Step 1. Based on the given conditions, we have $c=5, a=8$. Thus $b^2=a^2-c^2=39$.
The ellipse is centered at $(0,0)$ with a horizontal major axis.
Step 2. We can write the equation as $\frac{x^2}{64}+\frac{y^2}{39}=1$
