# How do you find the standard form of #9x^2-16y^2-90x+32y+65=0#?

##### 1 Answer

Apr 15, 2016

#### Explanation:

So, the given equation becomes

Divide by 144.

This equation represents a hyper bola with semi-major axis a = 4 and semi-transverse axis b = 3.

The eccentricity of the hyperbola is 1.25, using the relation

The asymptotes are