Overview
On this page, we discuss how to solve equations involving rational expressions, by algebraically manipulating them into polynomial equations.
Basic Learning Objectives
These are the tasks you should be able to perform with reasonable fluency when you arrive at your next class meeting. Important new vocabulary words are indicated in italics.
- Solve an rational equation which equates two proportions by cross-multiplying.
Advanced Learning Objectives
In addition to mastering the basic objectives, here are the tasks you should be able to perform after class, with practice:
- Solve general rational equations, which may include more than one term on each side, by clearing the denominators.
- Recognize that solutions to a rational equation obtained via the methods discussed here may be extraneous solutions that lead to division by zero when substituted in the original equation.
To prepare for class
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Watch the following videos (by Brian McLogan) which show examples of solving rational equations by clearing the denominators:
After class
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Watch the following videos (by Tyler Wallace) which show examples of solving rational equations by clearing the denominators:
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Watch the following videos (by Tyler Wallace) which show how to solve a distance and velocity problem involving a rational equation:
