# How do you find the coordinates of the center, foci, the length of the major and minor axis given #16x^2+25y^2+32x-150y=159#?

##### 1 Answer

Nov 2, 2016

The center is

The foci are

The length of the major axis is

and the length of the minor axis is

#### Explanation:

Rewriting the equation

Comparing this to the stadard form of the ellipse

The center is

To calculate the foci, we need

And the foci are

This lead us to F

The length of the major axis is

and the length of the minor axis is

graph{(x+1)^2/25+(y-3)^2/16=1 [-11.625, 10.875, -2.865, 8.385]}