In each of the following, find the equation for the ellipse that satisfies the given conditions:

Foci ( 3, 0), a = 4

Foci = (), a=4

Since the foci are on the x-axis, the major axis is along the x-axis.

Therefore, the equation of the ellipse will be of the form =1, where a is the semi-major axis.

Accordingly, c = 3 and a=4.

It is known that a² = b²+c².

a² = 8²+6^{2 =} 64+36 =100

16 = b² + 9

b² = 16 – 9 = 7

Thus, the equation of the ellipse is = 1.