1. 7 – 6 Solving Rational Equations Day 2 Objective: Solve equations that contain radicals or rational exponents.

2. Example 4 Solve Solution

3. Check solution:

4. Raising both sides of an equation to the same power may introduce extraneous solutions. What does extraneous mean?

5. Main Entry: ex·tra·ne·ous Pronunciation: ek-'strA-nE-&s Function: adjective Etymology: Latin extraneus -- more at STRANGE 1 : existing on or coming from the outside 2 a : not forming an essential or vital part b : having no relevance 3 : being a number obtained in solving an equation that is not a solution of the equation STRANGE When you use this procedure it is essential that you check each solution. In the original equation.

6. Example 5 Solve Solution

7. Check the solutions The only solution that works is 8.

8. Home work page 441, 47 – 54 all.