Quadratic Formula 3
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Lesson Summary:
In this lesson, we continue to explore the use of the quadratic formula to solve quadratic equations. We learn that when faced with equations in standard form with complex fractions, multiplying by the least common denominator can help eliminate the fractions and simplify the problem. Additionally, the lesson introduces the concept of completing the square as an alternate method to solve quadratic equations. Both methods lead to the same solutions, but completing the square may be easier for some individuals.
Lesson Description:
Part 3 of using the quadratic formula to solve quadratic equations in standard form.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you use the quadratic formula to solve quadratic equations?
- How do you solve (1/6)x^2 + x + 1/3 = 0 using the quadratic formula?
- How do you solve (1/6)x^2 + x + 1/3 = 0 by completing the square?
- How do you solve a quadratic equation if the leading coefficient is a fraction like 1/6?
- How do you solve x^2 + 6x + 2 = 0 using the quadratic formula?
- How do you solve x^2 + 6x + 2 = 0 by completing the square?
- When is completing the square faster and easier than using the quadratic formula?
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Staff Review
This lesson shows how to solve a quadratic equation by using the quadratic formula and then also by completing the square. All steps involved in both solving methods are explained. This also demonstrates that sometimes completing the square is actually faster than using the quadratic formula.
