# How do you find the equation of an ellipse with vertices #(+-5,0)# and foci #(+-2,0)#?

##### 1 Answer

Nov 27, 2017

#### Explanation:

Given an ellipse with centre at the origin and with foci at the points

and vertices at the points

The equation of the ellipse will satisfy:

In our example;

Hence.

We can see this ellipse on the graph below.

graph{ x^2/25 + y^2/21 =1 [-16.01, 16.02, -8.01, 8]}