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Solving Rational Equations

Solving Rational Equations. Students will be able to solve equations involving rational expressions and will be able to identify extraneous solutions. Answers. Warm-ups. Rational Equations contain rational expressions FACTOR EVERYTHING 1 ST ! Identify Excluded Values (12-1 stuff)

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Solving Rational Equations

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  1. Solving Rational Equations Students will be able to solve equations involving rational expressions and will be able to identify extraneous solutions.

  2. Answers Warm-ups

  3. Rational Equations contain rational expressions • FACTOR EVERYTHING 1ST! • Identify Excluded Values (12-1 stuff) • Find Lowest Common Denominator (LCD) • Multiply each rational expression by the LCD. • Solve Equation, look for extraneous solutions. THE LCD IS … THE FRACTION BUSTER Solving Rational Equations

  4. 4 6 3y Excluded value LCD Does the excluded value match the solution? No. Box your answer, you are done Example

  5. Excluded value None LCD 15 12 20 Example

  6. Excluded values LCD Hint Try on your own, check with a neighbor

  7. Extraneous Solutions: • False solutions • When substituted back into the equation, create zero in the denominator • They equal excluded value(s) Extraneous Solution

  8. Excluded value LCD Does the excluded value match the solution? YES! So… Example NO SOLUTION

  9. Excluded value If you have this situation, just cross multiply Example

  10. Answers Warm-ups Part II

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