Solve Rational Equations 4

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Taught by YourMathGal
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Lesson Summary:

In this lesson, we learn how to solve rational equations with more examples. The first step is to identify what values of x cannot be solutions by looking for denominators that cannot equal zero. Then we can either multiply both sides by the least common denominator or make all the denominators the same and have the numerators equal. We then simplify both sides and factor any quadratic terms. It's important to check the solutions for any values of x that cannot be solutions, and we do this by plugging them back into the original equation.

Lesson Description:

Part 4 of Solving Rational Equations; more examples.

More free YouTube videos by Julie Harland are organized at

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?
  • How do you solve 2/(x - 2) = 8/x - 1?
  • How do you know what x cannot equal when solving a rational equation?
  • How do you solve 2x = 8(x - 2) - x(x - 2)?
  • How do you solve (x + 6)/(x^2 - 4) - 2/(x - 2) = x/(x + 2)?
  • How do you solve x + 6 - 2x - 4 = x^2 - 2x?
  • Staff Review

    • Currently 4.0/5 Stars.
    2 more example problems with fractions are shown in this video. The variable is in the denominator, so the denominators are eliminated in the first problem by multiplying by the least common denominator and then solving the resultant quadratic equation. In the second problem, you will see how to get common denominators and then solve.