### All High School Math Resources

## Example Questions

### Example Question #47 : Intermediate Single Variable Algebra

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

imaginary root

irrational roots

rational roots

rational root

imaginary roots

**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 #48 : Intermediate Single Variable Algebra

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

imaginary root

rational roots

irrational roots

rational root

imaginary roots

**Correct answer:**

imaginary roots

The formula for the discriminant is:

Since the discriminant is negative, there are imaginary roots.

### Example Question #51 : Intermediate Single Variable Algebra

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

Cannot be determined

real roots

imaginary root

real root

imaginary roots

**Correct answer:**

imaginary roots

The formula for the discriminant is:

Since the discriminant is negative, there are imaginary roots.

### Example Question #1381 : Algebra Ii

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: