# How to use the discriminant to find out how many real number roots an equation has for #9n^2 - 3n - 8= -10#?

##### 1 Answer

Jul 5, 2015

There is no real number root to

#### Explanation:

The first step is to change the equation to the form:

To do so, you must do:

Then, you must calculate the discriminant:

In your case:

Therefore:

Depending on the result, you can conclude how many real solutions exist:

if

if

if

In your case,