Quadratic in Form Equation 2
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Lesson Summary:
In this lesson, you'll learn how to solve equations that are quadratic in form. By using the strategy of doubling the exponent on the first term, you can make an equation look like a quadratic equation, and then factor it to solve for a variable. The lesson uses an example equation of rational exponents to demonstrate the process of substitution, factoring, and back substitution. The lesson also emphasizes the importance of checking solutions, and provides an alternative method to solve the same equation.
Lesson Description:
Example of solving an Equation that is Quadratic in form.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you solve an equation in the form au^2 + bu + c = 0?
- How do you solve x^(2/3) - x^(1/3) - 6 = 0?
- How do you check your solution to an equation?
- How do you factor x^(2/3) - x^(1/3) - 6 = 0?
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Staff Review
This lesson shows another example of how to solve an equation that looks and acts like a quadratic equation even though it has a degree other than 2. In this case, the degree is 2/3. It is always necessary for the highest power be twice as big as the middle power. All steps involved in converting the equation to a quadratic equation, solving, and checking are shown and explained.
