1. + 2 –10 –3 –5 2 ( )( ) – 5 Check using FOIL. -5 2 + 2 ( )( ) Factor. -10 -3 If you factor out a GMF: before using the X figure, keep it, after using the X figure, discard it. Check using FOIL.

2. 10-3A Radical Equations Algebra 1 Glencoe McGraw-HillLinda Stamper

3. What inverse operation is needed to solve each of the following? addition subtraction division multiplication square root squaring

4. When solving radical equations you must square both sides of the equation to remove the square root sign (undo the radical symbol). Squaring is the inverse operation of square root!

5. When solving radical equations you must square both sides of the equation to remove the square root sign (undo the radical symbol). CAUTION: CAUTION: Squaring both sides of an equation can introduce a solution to the squared equation that does not satisfy the original equation. Such a solution is called an extraneous solution. When you solve by squaring both sides of an equation, check each solution in the original equation. Check

6. Example 1 Solve. Example 2 Example 3 Isolate the radical on one side of the equal sign before you undo the radical! Example 4 Example 5

7. Example 1 Solve. Example 2 Example 3 No solution

8. Solve. Example 4 Example 5

9. Okay to keep fractional answers improper, but in lowest terms!

10. Solve. No Solution

13. - 1 + 22 ( )( ) -22 21 22

14. Solve. 1 5 9)

15. 10-A10 Pages 544-546 #11-22,70-75.