Answer
$$\frac{x^2}{144} +\frac{y^2}{25} = 1$$
Work Step by Step
The center is $(0,0)$ thus we have the form
$$x^2/a^2 +y^2/b^2 = 1$$
Where a is the x intercepts and b is the y intercepts.
Plugging those in,
$$x^2/144 +y^2/25 = 1$$
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