Discriminant in Quadratic Formula
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Lesson Description:
Defines the discriminant and how to use it to find what types of solutions a quadratic equation has.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is the discriminant in the quadratic formula?
- What happens if the discriminant, or b^2 - 4ac, is > 0?
- What happens if the discriminant, or b^2 - 4ac, is < 0?
- What happens if the discriminant, or b^2 - 4ac, equals 0?
- When do you get two real solutions when solving a quadratic equation using the quadratic formula?
- When do you get two complex or imaginary solutions when solving a quadratic equation using the quadratic formula?
- When do you get only one solution when solving a quadratic equation using the quadratic formula?
- What are complex conjugates?
- How can you use the discriminant to determine the number and types of solutions of 2x^2 - 3x + 4 = 0?
- How can you use the discriminant to determine the number and types of solutions of 4x^2 - 12x = -9?
- How can you use the discriminant to determine the number and types of solutions of 8m^2 - 2m - 7 = 0?
- What happens if the discriminant, or b^2 - 4ac, is a perfect square?
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Staff Review
This lesson explains the three scenarios that can occur when solving a quadratic equation -- you can get 2 real solutions, 1 real solution, or 2 complex solutions. You can determine which of these will occur based on the discriminant of the quadratic equation, b^2 - 4ac. This is a great synopsis of the different things that can happen when solving a quadratic equation.
