8.5 Solving Rational Equations. 1. Factor all denominators 2. Find the LCD 3.Multiply every term on both sides of the equation by the LCD to cancel out.

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8.5 Solving Rational Equations

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

LCD: Example 1

LCD: Example 2

LCD: Example 3

11/22/ :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

11/22/ :43 PM8-5 : Solving Rational Equations7 Example 5

LCD: Example 6

Example 7

Example 8

Example 9

Example 10