Completing the Square 3
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Meets NCTM Standards:
Lesson Summary:
In Completing the Square 3, the teacher shows how to complete the square to solve quadratic equations, with a focus on more difficult problems. The method involves putting the x-squared and x-term on one side of the equation and the constant on the other, then finding the perfect square that would make the equation balance. Using the square root property, the teacher then shows how to solve for both real and imaginary solutions. The lesson also previews the next installment, which will cover quadratics with coefficients other than 1.
Lesson Description:
Part 3 of Showing how to the complete the square to solve quadratic equations.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you use completing the square to solve quadratic equations?
- How do you use completing the square to solve x^2 - 4 = 7x?
- How do you use completing the square to solve x^2 + x + 5 = 0?
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Staff Review
This lesson goes through two more example problems. The quadratic equations are solved by completing the square, factoring, using the square root property, and solving. Note that you will get two solutions when solving most of these problems. All steps involved in this sometimes complicated process are explained. The problems in this lesson again have a leading coefficient of 1, but problems in the next lessons in this series have leading coefficients other than 1.
