Loading in 5 sec....

10. 7 Solving Rational EquationsPowerPoint Presentation

10. 7 Solving Rational Equations

- 131 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' 10. 7 Solving Rational Equations' - archer

**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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### 10. 7 Solving Rational Equations

Standard: ALG. 15.0

Main Idea & Vocabulary

- Today, we will solve rational equations. Like working with fractions, be sure to find a common denominator.
- Rational equation: an equation with one or more rational expression.
- Like a proportion, you can use the Cross Product Property

- Extraneous solution: a solution to a resulting equation (after finding the LCD) that is NOT a solution to the original equation.
- (A.K.A excluded value when O on the bottom is undefined)
- Check your answers!

Ex. 1 Solving by Cross Products

- To solve one with two rational expressions, solve like a proportion:
1) cross multiply

2) Solve for variable using inverse operations (Ch. 2)

Ex. 2 Solving by LCD

- Step 1: Find the LCD
- Step 2: Multiply each fraction by the LCD to cancel the denominator
- Step 3: Simplify and solve

Ex. 3 Extraneous Solutions

- Check your answer! Some solutions may not work for the original equation, these are extraneous solutions (excluded values).

When can you use cross products to solve a rational equation?

What is the purpose of multiplying both sides by the LCD?

How are the extraneous solutions related to the denominators in the equation?

Are excluded values always extraneous solutions?

Review
Download Presentation

Connecting to Server..