9.6 Solving Rational Equations

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9.6 Solving Rational Equations

• By L. Kealii Alicea

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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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Example Solve.
LCD 2x Multiply each fraction through by the LCD
Check your solution!
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Solve.
LCD ?
LCD (x1)
?
Check your solution!
No Solution!
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Solve.
Factor 1st!
LCD (x2)(x-2)
Check your solutions!
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Short Cut!

• When there is only fraction on each side of the
  , just cross multiply as if you are solving a
  proportion.

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Example Solve.
Check your solutions!
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Last Example Solve.
Check your solutions!
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Assignment