Answer
$\frac{x^2}{25}+\frac{y^2}{9}=1$
Work Step by Step
Step 1. From the given conditions, we have $c=4, a=5$; thus $b=\sqrt {5^2-4^2}=3$
Step 2. We can write the equation as $\frac{x^2}{25}+\frac{y^2}{9}=1$
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