# How do you know if #5x^2-3y^2-20x-36y=103# is a hyperbola, parabola, circle or ellipse?

##### 1 Answer

Oct 24, 2015

It has coefficients for both

#### Explanation:

Without an

A circle would have equal coefficients for

An ellipse would have coefficients of the same sign for

A parabola would have either an

graph{5x^2-3y^2-20x-36y =103 [-39.58, 40.42, -25.32, 14.68]}

If these conic sections are rotated then they can have an