Ellipse 9x^2+25y^2=144, how do I solve this? It's confusing me...

Ellipse 9x^2+25y^2=144, how do I solve this? It's confusing me...

Find the Foci, vertices, eccentricity, and length of the major and minor axis...

9x² + 25y² = 144

Divide both sides by 144
(9/144)x² + (25/144)y² =1

x²/(144/9) + y²/(144/25) = 1

x²/16 + y²/(12/5)²=1

x²/4² + y²/(12/5)² = 1

a= 4 and b= 12/5 = 2.4

f = √(a² -b²) = √(16 - 144/25) = 16/5 = 3.2

e= f/a = (16/5)/4 = 4/5

x^2 / (1/3)^2 + y^2 / (1/5)^2 = 12^2 is the form you want.