1 / 5

Ch 8 - Rational & Radical Functions

Ch 8 - Rational & Radical Functions. 8.5 – Solving Rational Equations. A rational equation is an equation that contains one or more rational expressions. To solve a rational equation: Find the LCM of the denominators. Multiply EVERYTHING by the LCM (This clears the denominators)

darice
Download Presentation

Ch 8 - Rational & Radical Functions

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. Ch 8 - Rational & Radical Functions 8.5 – Solving Rational Equations

  2. A rational equation is an equation that contains one or more rational expressions. • To solve a rational equation: • Find the LCM of the denominators. • Multiply EVERYTHING by the LCM (This clears the denominators) • Solve the equation. An extraneous solution is a solution of an equation derived from an original equation that is not a solution of the original equation.

  3. Solve the equation. The LCM is x, so multiply everything by x. x2-18=3x Now solve like normal x2-3x + 18 = 0 (x -3)(x+6)=0 x = 3, -6 Check 3 or -6 to make sure they are not undefined values of the original problem. If they are undefined values, then they are an extraneous solution, and we don’t include them in the answer.

  4. Solve each equation. The solution, x = 2 is an extraneous solution, so in this case, there are no solutions. All you need to write is no solution.

  5. Solve each equation. • X = -4

More Related