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4.2: Solving Rational Equations
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When you have one fraction on each side of the =
You can cross multiply to solve Example: Solve
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Be sure to check for extraneous solutions!
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If you have more than one term on either side of the =
First, find the Least Common Denominator (LCD) The LCD is the smallest multiple that all of the denominators have in common If there is no common multiple, you will use the product of the denominators Multiply the LCD to ALL TERMS in the = Simplify & Solve
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Example: Solve
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