1. Warm up! Simplify:

2. Solving Radical Equations What is a radical equation? An equation that contains a radical expression with a variable in the radicand.

3. Inverse Operations How would you solve the following equation? Solve by taking the SQUARE ROOT. Why? = 9 Square roots and Squaring are inverse operations… they “undo” each other! x = 3,-3

4. So… consider this: How could you solve for x now? Solve by doing the inverse operation: SQUARING!

5. A Refresher on Inverses (opposites): Opposite of Multiply is ____________ Opposite of Add is ____________ Opposite of Divide is ____________ Opposite of Subtract is ____________ Opposite of squaring is ____________ Opposite of square rooting is ____________

6. Steps to Solving Radical Eq’s: Isolate the radicand – get the radicand on one side and all other terms on the other. Square both sides of the equation Solve for x CHECK YOUR ANSWER!!!!

7. Solve the following radical equations:

8. Solve. Check your answer!

9. Solve. Check your answer! ✔

10. Solve the following radical equations:

11. 3.)

12. Solve the following radical equations: This one is different, but square both sides anyway…

14. Check all solutions Any solution that does not check is called extraeous

15. Check all solutions Any solution that does not check is called extraeous X = 81 Check: No sol.

16. When a quadratic equation occurs: Here’s where it gets harder! Page 113 # 22 Square both sides-remember to foil the left side!

17. Solution to: Check both answers: (Set = to zero) CHECK: