Solve Rational Equations 3
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Lesson Summary:
In this lesson, we learn how to solve rational equations and avoid undefined fractions. By multiplying both sides by the least common denominator or through the jealousy method, we can get an equivalent fraction on both sides of the equation. We then simplify the equation and solve for the variable, checking our answers to ensure we haven't created any undefined fractions. This problem requires us to incorporate a lot of algebraic ideas and is a great exercise in problem-solving.
Lesson Description:
Part 3 of Solving Rational Equations; more examples.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is a rational equation?
- How do you solve equations with fractions in them?
- How do you solve equations when x is in the numerators and denominators of the fractions?
- How do you check your solution to a rational equation?
- When is a fraction undefined?
- How do you solve x/(x + 12) = 1/(x + 5)?
- If two fractions are equal and they have the same denominator, are their numerators equal?
- How do you solve a quadratic equation that results from a rational equation?
- How do you solve x(x + 5) = x + 12?
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Staff Review
This lesson goes through an additional practice problem showing how to get rid of fractions in algebraic equations when there are variables in the numerators and denominators and then solving. This lesson goes through a more complicated problem than the previous lessons have shown.
