Find the equation of the ellipse with a vertex of (0,6) and a co vertex of (5,0)

Question

Also find the equation of the ellipse for a vertex of (-4,0) and a co vertex of (0,3)

Answer 1

x^2/16 + y^2/9 = 1

9x^2 + 16y^2 = 144

for vertices (-4,0) and (0,3)

center at the origin

for vertices (5,0) and (0,6)

36x^2+25y^2 = 900