# How do you find the center, foci and vertices of #9x^2+4y^2-36x+8y+31=0#?

##### 1 Answer

Jun 17, 2018

Please see the explanation below

#### Explanation:

The equation is

Complete the squares

Dividing by

This is the equation of an ellipse, center

The vertices are

The semi axes are

The foci are

graph{9x^2+4y^2-36x+8y+31=0 [-3.05, 5.718, -3.592, 0.79]}