1 / 13

11.7 Solving Rational Equations

11.7 Solving Rational Equations. Rational Equation. An equation containing one or more rational expressions. Cross products Short cut:. extraneous solution?. Cross products:. Cross products:. Cross products:. Steps to solve Rational Equations. Find the LCD

pphipps
Download Presentation

11.7 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. 11.7 Solving Rational Equations

  2. Rational Equation An equation containing one or more rational expressions

  3. Cross productsShort cut: extraneous solution?

  4. Cross products:

  5. Cross products:

  6. Cross products:

  7. Steps to solve Rational Equations • Find the LCD • Multiply every term on both sides of the equation by the LCD over 1 • Cross Cancel • Solve for the variable a. Linear equation: get variables on one side and constants on the other b. Quadratic: set your equation = 0 and factor.

  8. Extraneous Solutions • When both sides of the equation are mult by a variable, the equation is transformed into a new equation and may have an extra solution. • Check each solution in the original rational equation • Make sure that your answer does not make the denominator 0

  9. Solve for x: LCM =

  10. 2x• •2x Solve for x: LCM = 2x

  11. Solve for x: x• • x

  12. Solve for x: -2 is an extraneous solution.

  13. Assignment:Page 592 (5-10, 13-18) all

More Related