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4.2 Solving Rational Equations 1/30/2013. Vocabulary Rational Equation: Equation that shows two rational expressions or fractions are equal. Example:

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1 4.2 Solving Rational Equations 1/30/2013

2 Vocabulary Rational Equation: Equation that shows two rational expressions or fractions are equal. Example: Cross Multiply:

3 Example 1

4 Example 2

5 Example 3 If x = 2, what happens to the denominator? Yes, it becomes 0 and you cannot divide by 0. So there is NO SOLUTION! Or if you just look at the problem you can easily see that for the 2 fractions to be equal x must be 2! 2 is called an Extraneous solution because it leads to a division by 0 in the original equation. Always check for extraneous solutions!

6 Example 4

7

8 Example 5 2(-2) = -4 -3 -4 1 2 -2 2 1

9 Example 6 5(-6) = -30 13 15 -2 5 3 5 1

10 Homework: WS 4.2 even problems

11 Homework: WS 4.2 Even problems


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