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9.6 Solving Rational Equations

9.6 Solving Rational Equations. p.569. 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.

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9.6 Solving Rational Equations

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  1. 9.6 Solving Rational Equations p.569

  2. 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!

  3. Example: Solve. LCD: 2x Multiply each fraction through by the LCD Check your solution!

  4. Solve. LCD: ? LCD: (x+1) ? Check your solution! No Solution!

  5. Solve. Factor 1st! LCD: (x+2)(x-2) Check your solutions!

  6. Short Cut! When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion.

  7. Example: Solve. Check your solutions!

  8. Last Example: Solve. Check your solutions!

  9. Assignment

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