### All High School Math Resources

## Example Questions

### Example Question #1 : Understanding The Discriminant

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

rational root

irrational roots

rational roots

imaginary roots

imaginary root

**Correct answer:**

irrational roots

The formula for the discriminant is:

Since the discriminant is positive and not a perfect square, there are irrational roots.

### Example Question #2 : Understanding The Discriminant

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

imaginary root

rational roots

rational root

imaginary roots

irrational roots

**Correct answer:**

imaginary roots

The formula for the discriminant is:

Since the discriminant is negative, there are imaginary roots.

### Example Question #3 : Understanding The Discriminant

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

imaginary root

imaginary roots

real roots

Cannot be determined

real root

**Correct answer:**

imaginary roots

The formula for the discriminant is:

Since the discriminant is negative, there are imaginary roots.

### Example Question #1 : Discriminants

Given , what is the value of the discriminant?

**Possible Answers:**

**Correct answer:**

In general, the discriminant is .

In this particual case .

Plug in these three values and simplify: