# How do you find the discriminant for #9x^2+24x=-16# and determine the number and type of solutions?

##### 1 Answer

See a solution process below:

#### Explanation:

First, write the equation in standard form:

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