1. The Discriminant

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

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

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

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

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

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

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

9. 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.

10. 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.

11. 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.

12. 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.