Question

Find the equation for the ellipse that satisfies the given conditions: Vertices (±5, 0), foci (±4, 0)

Answer 1

Vertices (±5, 0), foci (±4, 0)

Here, the vertices are on the x-axis.

Therefore, the equation of the ellipse will be of the form, where a is the semi-major axis.

Accordingly, a = 5 and c = 4.

It is known that.

Thus, the equation of the ellipse is.