高,那ol Math : Understanding the Discriminant

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 :Understanding The Discriminant

Use the discriminant to determine the nature of the roots:

Possible Answers:

rational root

rational roots

imaginary root

irrational roots

imaginary roots

Correct answer:

irrational roots

Explanation:

The formula for the discriminant is:

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

Example Question #2 :Understanding The Discriminant

Use the discriminant to determine the nature of the roots:

Possible Answers:

irrational roots

rational roots

imaginary root

rational root

imaginary roots

Correct answer:

imaginary roots

Explanation:

The formula for the discriminant is:

Since the discriminant is negative, there areimaginary roots.

Example Question #3 :Understanding The Discriminant

Use the discriminant to determine the nature of the roots:

Possible Answers:

real roots

imaginary root

imaginary roots

Cannot be determined

real root

Correct answer:

imaginary roots

Explanation:

The formula for the discriminant is:

Since the discriminant is negative, there areimaginary roots.

Example Question #1 :Discriminants

Given, what is the value of the discriminant?

Possible Answers:

Correct answer:

Explanation:

In general, the discriminant is.

In this particual case.

Plug in these three values and simplify:

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