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Challenge Problem! Work in your groups to do this problem:

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1 Challenge Problem! Work in your groups to do this problem:

2 A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis

3 Domain Recall: The domain is the set of all x values for which an expression exists. Ex. Find the domain of the following expression.

4 Solve vs. Simplify! This is what we did before: SIMPLIFY This is what we’re doing now: SOLVE

5 Solving Rational Equations Recall how to solve the following equation…

6 Steps for Solving Rational Equations Step 1: Factor all denominators completely. Step 2: Determine the least common multiple. Step 3: Multiply both sides by the LCM (distribute!). Step 4: Solve the new polynomial equation using learned methods. Step 5: Check for any extraneous solutions in the original equation.

7 Solving Rational Equations Solve the equation.

8 Solving Rational Equations What if we have one a little more tricky?!

9 Solving Rational Equations Do with your groups and turn in! Pg 998 #42, 78, 80 Do with your groups and turn in! Pg 998 #42, 78, 80 Solve or Simplify?? a) b) c) d)

10 A.5 Methods for Solving Equations Failures are finger posts on the road to achievement. -C. S. Lewis Homework #6: p.998 #41, 45, 46, 77, 79, 80


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