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9.6 Solving Rational Equations

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Presentation on theme: "9.6 Solving Rational Equations"— Presentation transcript:

1 9.6 Solving Rational Equations

2 Objectives/Assignment
Solve rational equations Assignment: odd

3 Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will get rid of all the fractions! Beware of extraneous solutions!

4 Multiply each fraction through by the LCD
Example: Solve. LCD: 2x Multiply each fraction through by the LCD Check your solution!

5 Solve. LCD: ? LCD: (x+1) ? Check your solution! No Solution!

6 Solve. Factor 1st! LCD: (x+2)(x-2) Check your solutions!

7 Short Cut! When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion.

8 Example: Solve. Check your solutions!

9 Last Example: Solve. Check your solutions!


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