Solving Rational Equations and Inequalities

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The following figure shows how to solve rational equations. Scroll down the page for more examples and solutions.

 

Solve a rational equation whose LCD is made of three binomials

Example:
(x - 4)/(x² - 4x - 5) + (x + 3)/(x² - 25) = (2x + 11)/(x² + 6x + 5)

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Solving Rational Equations and Inequalities Part 1
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the first part of a three part lesson.

Examples:
Solve 10/(2x - 3) = 2
Solve (x - 5)/(x² - 2x - 8) = (5x - 1)/(x² - 4)

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Solving Rational Equations and Inequalities Part 2
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the second part of a three part lesson.

Examples:
Solve (x - 3)/(x + 4) = ≤ 5

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Solving Rational Equations and Inequalities Part 3
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the third part of a three part lesson.

Examples:
Solve (x + 3)/(x + 1) = ≥ (x - 2)/(x - 3)

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