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