# What is the discriminant of #m^2-8m=-14# and what does that mean?

##### 1 Answer

See a solution process below:

#### Explanation:

First, put the equation in standard quadratic form:

or

The quadratic formula states:

For

The discriminate is the portion of the quadratic equation within the radical:

If the discriminate is:

- Positive, you will get two real solutions

- Zero you get just ONE solution

- Negative you get complex solutions

To find the discriminant for this problem substitute:

Because the discriminate is **Positive**, you will get two real solutions.