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Warmup Alg 2 27 Mar 2012

Warmup Alg 2 27 Mar 2012. Agenda. Don't forget about resources on mrwaddell.net Section 8.6: Solving Rational Equations Multiplication Adding & Subtracting Cross multiplying So we can solve. Section 8.6: Solving Rational EQUATIONS. Solving Equations by GRAPHING.

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Warmup Alg 2 27 Mar 2012

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  1. WarmupAlg227Mar 2012

  2. Agenda • Don't forget about resources on mrwaddell.net • Section 8.6: Solving Rational Equations • Multiplication • Adding & Subtracting • Cross multiplying • So we can solve

  3. Section 8.6: Solving Rational EQUATIONS

  4. Solving Equations by GRAPHING Step 1: put each side in calculator on it’s own line. Make sure you use parenthesis Step 2: See where they cross. Step 3: Eliminate Asymptotes if needed.

  5. x = 2, x = 3 x/(x-6) 1/(x-4) Zoom in

  6. Solving Equations - Algebra Step 1: Find the asymptotes! x=6, x=4. Our answer CANNOT be one of these. Step 2: Cross Multiply Step 3: Distribute Step 4: Solve Since x=2, and x=3 are not Asymp. We have 2 answers.

  7. Solving Equations - Algebra Step 1: Find the asymptotes! x=+3, x=-3. Our answer CANNOT be one of these. Step 2: Distribute & Add Step 3: make it equal zero

  8. Solving Equations - Algebra x=+3, x=-3. Our answer CANNOT be one of these. Step 4: factor or use quadratic formula. Since x=3 cannot be an answer, x = -2 is the only answer!

  9. Some Cautions • Not every equation has an answer. Some equations have “No Solution”. • You will need to use the quadratic formula on some of the problems. They are not always factorable. • Whenever there is a question, GRAPH IT! The picture never lies.

  10. Assignment • Section 8.6, page 593: • 7 – 11, • 15 – 22

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