1 / 12

8.5 Solving Rational Equations

Learn how to solve rational equations with this step-by-step guide. Factor denominators, find the least common denominator (LCD), cancel out fractions, simplify, and solve for x. Includes examples.

jerrypatrick
Download Presentation

8.5 Solving Rational Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 8.5 Solving Rational Equations

  2. Steps to solve Rational Equations 1. Factor all denominators 2. Find the LCD • 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

  3. Example 1 LCD:

  4. Example 2 LCD:

  5. Example 3 LCD:

  6. = 3x + 4 5x x – 2 x – 2 Example 4 (x – 2) (x – 2) 5x = 3x + 4 2x = 4 No Solution x = 2 The solution x = 2 is extraneousbecause it makes the denominators of the original equation equal to 0. Therefore, the equation has no solution. 8-5 : Solving Rational Equations

  7. Example 5 8-5 : Solving Rational Equations

  8. Example 6 LCD:

  9. Example 7

  10. Example 8

  11. Example 9

  12. Example 10

More Related