Tutorials: The Discriminant

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Tutorials: The Discriminant

  1. 1. The Discriminant
  2. 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. 3. Tutorial--Calculating the Determinant: Example 1. In this example a, b, and c are positive, discriminant is positive.
  4. 4. Tutorial--Calculating the Determinant: Example 2. In this example a, b, and c are positive, discriminant is negative
  5. 5. Tutorial--Calculating the Determinant: Example 3. In this example a, b, and c are positive, discriminant is zero
  6. 6. Tutorial--Calculating the Determinant: Example 4. In this example a, b, and c are negative, discriminant is positive.
  7. 7. Tutorial--Calculating the Determinant: Example 5. In this example a, b, and c are negative, discriminant is negative.
  8. 8. Tutorial--Calculating the Determinant: Example 6. In this example a, b, and c are negative, discriminant is zero.
  9. 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. 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. 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. 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.

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