This document provides 12 examples of using the quadratic formula to solve quadratic equations, covering problems with positive and negative values for a, b, and c, and examples that yield real and complex roots. Each of the 12 examples demonstrates a different combination of sign values for a, b, and c in the quadratic formula.

1. Quadratic Formula

2. Overview
This set of tutorials provides 12 examples of
using the Quadratic Formula to solve Quadratic
Equations.

3. Solving Equations with the Quadratic Formula, Example 1: Positive
values for a, b, and c, two real roots.

4. Solving Equations with the Quadratic Formula, Example 2: Positive
values for a, b, and c, one root.

5. Solving Equations with the Quadratic Formula, Example 3: Positive
values for a, b, and c, complex roots.

6. Solving Equations with the Quadratic Formula, Example 4:
Negative values for a, b, and c, two real roots.

7. Solving Equations with the Quadratic Formula, Example 5:
Negative values for a, b, and c, one real root.

8. Solving Equations with the Quadratic Formula, Example 6:
Negative values for a, b, and c, complex roots.

9. Solving Equations with the Quadratic Formula, Example 7:
Negative value for a, positive for b and c, two real roots.

10. Solving Equations with the Quadratic Formula, Example 8:
Negative values for a and c, positive for b, one real root.

11. Solving Equations with the Quadratic Formula, Example 9:
Negative values for a and c, positive for b, two complex roots.

12. Solving Equations with the Quadratic Formula, Example 10:
Positive value for a, negative for b and c, two real roots.

13. Solving Equations with the Quadratic Formula, Example 11:
Positive values for a and c, negative for b, one real root.

14. Solving Equations with the Quadratic Formula, Example 12:
Positive value for a, negative for b and c, two complex roots.