# How to use the discriminant to find out how many real number roots an equation has for #x^2 - 8x + 3 = 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: