# How do use the discriminant test to determine whether the graph #x^2+5xy+1-y^2-16=0# whether the graph is parabola, ellipse, or hyperbola?

##### 1 Answer

Jul 20, 2018

It is a hyperbola.

#### Explanation:

Let the equation be of the type

then if

**parabola**

**circle**

**ellipse**

**hyperbola**

In the given equation

Therefore,

Hence, it is a hyperbola.

graph{x^2+5xy+1-y^2-16=0 [-20, 20, -10, 10]}