The Discriminant

OverviewThis set of tutorials provides 10 examples of finding the determinant of a quadratic equation to determine the number of real roots.

Tutorial--Calculating the Determinant: Example 1. In this example a, b, and c are positive, discriminant is positive.

Tutorial--Calculating the Determinant: Example 2. In this example a, b, and c are positive, discriminant is negative

Tutorial--Calculating the Determinant: Example 3. In this example a, b, and c are positive, discriminant is zero

Tutorial--Calculating the Determinant: Example 4. In this example a, b, and c are negative, discriminant is positive.

Tutorial--Calculating the Determinant: Example 5. In this example a, b, and c are negative, discriminant is negative.

Tutorial--Calculating the Determinant: Example 6. In this example a, b, and c are negative, discriminant is zero.

Tutorial--Calculating the Determinant: Example 7. In this example a is positive and b and c are negative, discriminant is positive. Point out to students that in this configuration the discriminant can only be positive.

Tutorial--Calculating the Determinant: Example 8. In this example a and b are positive and c is negative, discriminant is positive. Point out to students that in this configuration the discriminant can only be positive.

Tutorial--Calculating the Determinant: Example 9. In this example c is positive and b and a are negative, discriminant is positive. . Point out to students that in this configuration the discriminant can only be positive.

Tutorial--Calculating the Determinant: Example 10. In this example c and b are positive and a is negative, discriminant is positive. Point out to students that in this configuration the discriminant can only be positive.