Answer:
The equation that satisfies the given conditions is:
x²/16 + y²/14 = 1.
Explanation:
The general equation of an ellipse is given by
(x - h)²/a² + (y - k)²/b² = 1, where (h, k) is the centre, in this case (h, k) = (0, 0) since it is centered at the origin. Therefore, we have just
x²/a² + y²/b² = 1.
Since the foci is on x-axis, then the major axis is on x. Therefore, a² = 16 and b² = 14, since 16 and 14 are the major and minor axes respectively. Hence, our equation that satisfies the given conditions is:
x²/16 + y²/14 = 1.