How to use the discriminant to find out how many real number roots an equation has for #9n^2 - 3n - 8= -10#?
There is no real number root to
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:
Depending on the result, you can conclude how many real solutions exist:
In your case,