# What is the discriminant of #-9x^2+10x=-2x+4# and what does that mean?

##### 1 Answer

It means that there is exactly 1 Real solution for this equation

#### Explanation:

The discriminant of a quadratic equation is

We get this equation:

The "meaning" is the result of the discriminant being a component of the quadratic formula for the solution(s) to quadratic equation in the form:

where the solutions can be determined by:

Notice that the discriminant is the component within the square root, and as a result: