# How do you find the center, foci and vertices of #9x^2+25y^2-36x-50y+61=0#?

##### 1 Answer

Jan 14, 2017

The center is C

The foci are F

The vertices are A

#### Explanation:

Let 's rearrange the equation by completing the squares

Dividing throughout by

This is the equation of an ellipse

The center is C

The foci are F

and F'

graph{(x-2)^2/(25/9)+(y-1)^2=1 [-5.546, 5.55, -2.773, 2.774]}