1. 8.5 Solving Rational Equations

2. 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

3. Example 1

4. Example 2

5. Example 3

6. Example 4

7. 8-5 : Solving Rational Equations
Example 5
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8-5 : Solving Rational Equations

8. 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.
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8-5 : Solving Rational Equations

9. Example 7

10. Example 8

11. Example 9

12. Example 10

13. Example 11

14. Example 12

15. Example 13