8.5 Solving Rational Equations

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Presentation transcript:

8.5 Solving Rational Equations

Steps to solve Rational Equations 1. Factor all denominators 2. Find the LCD Multiply each fraction by what’s missing 4. Cross out denominators 5. Combine like terms and solve for x

Example 1

Example 2

Example 3

Example 4

8-5 : Solving Rational Equations Example 5 8/1/2019 10:45 AM 8-5 : Solving Rational Equations

Therefore, the equation has no solution. Example 6 5x x – 2 3x + 4 = The solution x = 2 is extraneous because it makes the denominators of the original equation equal to 0. Therefore, the equation has no solution. 8/1/2019 10:45 AM 8-5 : Solving Rational Equations

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Example 13