1. 8.5 Solving Rational Equations

2. 1. Factor all denominators 2. Find the LCD 3.Multiply every term on both sides of the equation by the LCD to cancel out fractions 4. Simplify---no more fractions 5. Solve for x Steps to solve Rational Equations

3. LCD: Example 1

4. LCD: Example 2

5. LCD: Example 3

6. 11/22/2016 12:43 PM8-5 : Solving Rational Equations6 Example 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. 5x x – 2 3x + 4 x – 2 = 5x = 3x + 4 x = 2 (x – 2) No Solution 2x = 4

7. 11/22/2016 12:43 PM8-5 : Solving Rational Equations7 Example 5

8. LCD: Example 6

9. Example 7

10. Example 8

11. Example 9

12. Example 10