Question

HELP!!!

Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (7, 0) and (-7, 0), y-intercepts at (0, 5) and (0, -5), and center at (0, 0).

Answer 1

The equation of an ellipse is x²/a²  + y²/b² =1

a being the distance between the center & x intercept =7
b being the distance between the center & y intercept =5

Hence the equation of this ellipse is:

x²/49 + y²/25 =1