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

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

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

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

5. 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).

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

7. Final Answer: x = –3

8. 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!!!