Completing the Square 4
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Meets NCTM Standards:
Lesson Summary:
In this Completing the Square lesson, the instructor teaches how to solve quadratic equations by completing the square. They go step-by-step through the process, even when the coefficient of x squared is not 1. They demonstrate how to divide both sides of the equation by the coefficient of x squared to make it 1 and how to complete the square. The lesson is broken down by solving two examples, and the instructor provides the solutions so you can check your work.
Lesson Description:
Part 4 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 quadratic equations with a leading coefficient other than 1?
- How do you solve 2x^2 + 14x - 1 = 0 by completing the square?
- How do you solve 9x^2 - 36x = -40 by completing the square?
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Staff Review
This lesson goes through two more example quadratic equation problems. These are solved by completing the square, just as in previous lessons, but now the leading coefficient is not 1. This is not much of a problem, however, as you just have to divide the equation by the leading coefficient to make it 1. All steps and work are shown and explained.
