# What conic section is #25x^2 + 100x + 9y^2 – 18y = 116#?

##### 1 Answer

Mar 8, 2016

Ellipse

#### Explanation:

If a, b and 2h are the coefficients of the terms in

Here,

The equation can be reorganized as

Center C of the ellipse is

Semi axes a = 5 and b = 3.

Major axis is

Eccentricity e =

For foci S and S', CS = CS' = ae =

Foci: