Presentation is loading. Please wait.

Presentation is loading. Please wait.

Rational Equations Section 8-6.

Similar presentations


Presentation on theme: "Rational Equations Section 8-6."— Presentation transcript:

1 Rational Equations Section 8-6

2 Objectives Solve rational equations with one variable by CROSS MULTIPLYING Check answers for Extraneous Solutions

3 Extraneous Solutions Any solution that makes a denominator ZERO does not check. (Extraneous)

4 Solving Rational Equations
Two basic methods 1. Cross Multiply two rational expressions to solve them 2. Set equation equal to ZERO and then get Common Denominator

5 Today Cross Multiplying Method

6 Cross Multiplication Method

7 Example 2

8 Example 3

9 Solve a rational equation by cross multiplying
EXAMPLE 1 Solve a rational equation by cross multiplying Solve: 3 x + 1 = 9 4x + 1 3 x + 1 = 9 4x + 1 Write original equation. 3(4x + 5) = 9(x + 1) Cross multiply. 12x + 15 = 9x + 9 Distributive property 3x + 15 = 9 Subtract 9x from each side. 3x = – 6 Subtract 15 from each side. x = – 2 Divide each side by 3. The solution is –2. Check this in the original equation. ANSWER

10 Homework WS 12-5


Download ppt "Rational Equations Section 8-6."

Similar presentations


Ads by Google