Write an equation for an ellipse centered at the origin, which has foci at (\pm5,0)(±5,0)(, plus minus, 5, comma, 0, )and vertices at (\pm\sqrt{41},0)(± 41 ,0)(, plus minus, square root of, 41, end square root, comma, 0, ).

The equation of ellipse is

Step-by-step explanation:

The equation of an ellipse is

where(h,k) is the center and c is distance from the center to the foci is given by . a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.

The center of the ellipse is the mid-point of the vertices.

The mid point of the vertices is

=

=(0,0)

a is the distance between the center and the vertices.

So,

c is the distance between the center and the foci.

So,

         =5

The equation of ellipse is

3

step-by-step explanation: