# What kind of conic is #4x^2-9x+y-5=0#?

##### 1 Answer

Jul 25, 2017

A parabola.

#### Explanation:

Please read the reference regarding Conic Sections .

The given equation:

Matches the equation in the reference:

When

The section entitled "Discriminant" tells us how do identify what type of conic section this is by evaluating the expression:

Substituting in the values for A, B and C:

This tells us that the conic section is a parabola.

There are other ways to do this identification but this is the most general method that I have found; that is why I wanted to share it with you.