Find an equation for the ellipse that has its center at the

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions. Vertices V(±9, 0), foci F(±8, 0)

Vertices V(±9, 0), foci F(±8, 0)

a =9

ae =8

ae/a =8/9

eccentricity e=8/9

e=[1-(b²_/a²)]

[1-(b²_/9²)]=(8_/9)

(81-b²)_/81=(64_/81)

81-b²=64

b²=17

general equation of ellipse with origin centre is (x²_/a²)+(y²_/b²)=1

equation of ellipse with origin centre is (x²_/81)+(y²_/17)=1