In each of the following, find the equation for the ellipse that satisfies the given conditions:
Vertices (
5, 0), foci (
4, 0)
Vertices (
), foci ( 
).
Here, the vertices are on the x-axis.a
Therefore, the equation of the ellipse will be of the form 
=1, where a is the semi-major axis.
Accordingly, a=5 and c = 4.
It is known that a2 = b2+c2.
52 = b2+42
25 = b2 + 16
b2 = 25 – 16
b = 
= 3
Thus, the equation of the ellipse is 
=1 or
= 1.
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