# How do you find the standard form of #2y^2+9x^2=9-x# and what kind of a conic is it?

##### 1 Answer

Nov 22, 2016

This is an ellipse,

#### Explanation:

Let's rewrite the equation

Compare this to the general equation of the conics

Let's calculate the dscriminant,

As, #Delta<0, we expect an ellipse

Completing the squares

This is the standard equation of the ellipse

the center is

graph{9x^2+x+2y^2-9=0 [-4.382, 4.386, -2.19, 2.192]}