Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. eccentricity 3 7 , vertices V(0, ±7)

Question

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions.

eccentricity 3/7

vertices V(0, ±7)

Answer 1

b^2 = a^2(1 - e^2) = 7^2(1 - (3/7)^2) = 49 (1 - 9/49) = 49(40/49) = 40

x^2/49 + y*2/40 = 1