Warm-up 1. Answer: 3, -1 2. Answer: 5 3. Answer: 8.

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Presentation transcript:

Warm-up 1. Answer: 3, -1 2. Answer: 5 3. Answer: 8

Solving MORE Radical Equations Def: A solution of a transformed equation that is NOT a valid solution of the original equation …with extraneous solutions!!!

Example 1 Solve the following equation and check for extraneous solutions. CHECK: NO SOLUTION!!!

Example 2 Final Answer: x = -2 Solve and check for extraneous solutions. Final Answer: x = -2

Your Turn! Solve for x. Final Answer: Remember: Isolate the radical Take the reciprocal power of both sides. Solve for x CHECK your answer(s).

Example 3 Final Answer: x = 1 or x = 3 Solve and check for extraneous solutions Final Answer: x = 1 or x = 3

Final Answer: x = –3

Because you might get an extraneous solution!!! CLOSING THOUGHT… Discuss this question with your groups and be prepared to answer: Why must you ALWAYS check answers to radical equations? Because you might get an extraneous solution!!!