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11-5 Solving Rational Equations
Algebra I
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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!
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Multiply each fraction through by the LCD
Example 1: Solve. LCD: 2x Multiply each fraction through by the LCD Check your solution!
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Ex. 2 Solve. LCD: ? LCD: (x+1) ? Check your solution! No Solution!
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Ex. 3: Solve. Check your solutions!
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Assignment
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Ex. 3 Solve. Factor 1st! LCD: (x+2)(x-2) Check your solutions!
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Short Cut! When there is only one fraction on each side of the =, just cross multiply as if you are solving a proportion.
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Ex. 5: Solve. Check your solutions!
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