# How do you find the center, vertices, foci and eccentricity of #4x² + 9y² - 8x - 36y + 4 = 0#?

##### 1 Answer

The centre is at

The vertices are at

The foci are at

The eccentricity is

#### Explanation:

Rearrange the elements to get the standard form of an ellipse

So in this example

Using the method of completing squares

Therefore the centre is at

The semi-major axis has length

If

The foci are at

The eccentricity is