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Assignment: The Discriminant
Part I: Practice Finding the Discriminant
Find the value of the discriminant for each quadratic equation below. Show all steps needed to
write the answer in simplest form, including substituting the values of a, b, and c in the
discriminant formula. Then use the value to determine how many real number solutions each
equation has.
1. x2 2. 3x 2 3. x2 4x 4 4. 5x 2 x 4 5. 2x 2 3x 6. x2 x 7. x2 2x 6x 3 0 2x 1 0 0 5 12 1 © K12 Inc. Part II: Writing Quadratic Equations
Follow the directions for each problem to write a quadratic equation that has the given number of
solutions. Be sure to show all the work leading to your answer.
8. Think of another quadratic equation that has two (2) real number solutions. Write the
equation in ax 2 bx c 0 form. Then find the value of the discriminant to support your
answer. 9. Think of another quadratic equation that has one (1) real number solution. Write the
equation in ax 2 bx c 0 form. Then find the value of the discriminant to support your
answer. 10. Think of another quadratic equation that has no (0) real number solutions. Write the
equation in ax 2 bx c 0 form. Then find the value of the discriminant to support your
answer. © K12 Inc.

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