Completing the Square 5
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Part of video series
Meets NCTM Standards:
Lesson Summary:
In this lesson, we learn how to solve quadratic equations by completing the square when the coefficient of x squared is not one. The teacher shows how to divide everything by the coefficient to get an equation with one x squared, then adds a number to both sides to make it a perfect square trinomial. Using the square root property, the teacher then shows how to solve for x and simplify the answer into two possible solutions.
Lesson Description:
Part 5 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 solve quadratic equations by completing the square?
- How do you solve 2x^2 + 5x + 4 = 0 by completing the square?
- How do you solve 2x^2 - 3x + 5 = 0 by completing the square?
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Staff Review
A couple of more quadratic equations are solved with all work shown and explained in this video. The method used is completing the square. The leading coefficient is again not 1, but this is easily taken care of by dividing the entire equation by the leading coefficient.
