# How do you find the nature of the roots using the discriminant given #9x^2 + 6x + 1 = 0#?

##### 1 Answer

See a solution process below:

#### Explanation:

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 Discriminant is