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Efficient Solutions to Rational Equations
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Learn an efficient approach to solving rational equations by multiplying through with the LCD and avoiding extraneous solutions. Practice with examples and shortcuts provided. Check your answers for accuracy.
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Efficient Solutions to Rational Equations
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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!
Example: Solve. LCD: 2x Multiply each fraction through by the LCD
Solve. LCD: ? LCD: (x+1)
Solve. Factor 1st! LCD: (x+2)(x-2)
Short Cut! When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion.
Last Example: Solve. Check your solutions!
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