1. Warm Up Solve. 1 5

2. 10-3B Radical Equations
Algebra Glencoe McGraw-Hill Linda Stamper

3. 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 the solution in the original equation.
Solve.
Check your solution in the original equation.
Write problem.
Isolate the radical.
Square each side of the equation.
Solve.
No solution

4. Solve.
Write problem.
Square each side of the equation.
Simplify.
Write the quadratic equation in standard form (move to the side that will make the leading coefficient positive).
Solve.
Check both your solutions in the original equation.

5. Solve.
Write problem.
Square each side of the equation.
Simplify.
Write the quadratic equation in standard form (move to the side that will make the leading coefficient positive).
Solve.
Check both your solutions in the original equation. 

6. Square each side of the equation. Simplify.
Solve.
Write problem.
Square each side of the equation.
Simplify.
What happens when you make the leading coefficient negative? -3 3 –1
Remember to use the X-Factor method when the leading coefficient is not a 1. 2
Wrong factors! X
Remember to discard any GCF factored out after the X figure!

7. Solve.
Example 1
Example 2
Example 3

8. Example 1 Solve.  
Check both your solutions in the original equation.

9. Check both your solutions in the original equation.
Example 2 Solve. 
Important points:
When the radical is isolated is it equal to a negative?
Does the value produce a negative radicand?
Check both your solutions in the original equation.

10. Example 3 Solve. 
Check both your solutions in the original equation.

11. White Board
Practice

12. Solve.
Only positive

13. Solve. 60
-10 –6
-16 14 -7 –2 -9

14. Solve.
Only positive
No Solution

15. Solve.
-80
-10 8 -2

16. Homework
10-A11 Practice Workbook Page 65 #1-22.

17. Solve.

18. Solve.
No Solution