# How do use the discriminant test to determine whether the graph #4xy+5x-10y+1=0# whether the graph is parabola, ellipse, or hyperbola?

##### 1 Answer

Please see the explanation.

#### Explanation:

Here is a reference Conic Sections that I will use.

Here is the general Cartesian form of a conic section:

The discriminant is:

The discriminant test is the following 3 "If-then" tests; two of which have subordinate special cases:

The given equation is the type specified by [3.1]. A rectangular hyperbola .

Here is the graph of the equation: