### All High School Math Resources

## Example Questions

### Example Question #293 : Algebra Ii

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

imaginary root

rational root

irrational roots

rational roots

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 #294 : Algebra Ii

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

rational roots

rational root

irrational roots

imaginary roots

imaginary root

**Correct answer:**

imaginary roots

The formula for the discriminant is:

Since the discriminant is negative, there are imaginary roots.

### Example Question #295 : Algebra Ii

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

Cannot be determined

real root

real roots

imaginary roots

imaginary root

**Correct answer:**

imaginary roots

The formula for the discriminant is:

Since the discriminant is negative, there are imaginary roots.

### Example Question #91 : Quadratic Equations And Inequalities

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:

Certified Tutor