1. 5.8 Radical Equations and Inequalities
Extraneous solution
Radical Inequalities

2. Definition of Radical Equation
Equations with variables in the radicand

3. How to solve Radical Equation
Get the radical only by adding 5 to each side of the equation.

4. How to solve Radical Equation
Square both sides of the equation.
Subtract 3

5. Radical on both sides of the equation

6. Radical on both sides of the equation
Make sure you check your answer!

7. Radical on both sides of the equation
Make sure you check your answer!

8. Extraneous Solution
A solution when check in the original equation make the equation false.

9. Extraneous Solution
Check in the original equation
No Solution

10. Radical Inequality
If the index is even, find what values are possible.
Solve

11. Radical Inequality
Solve the inequality as if it was equal

12. Radical Inequality Solve the inequality as if it was equal Answer is
Check your answer, x=4

13. Solve

14. Solve

15. Solve

16. Solve

17. Solve

18. Solve

19. Homework
Page 266
# 13 – 37 odd

20. Homework
Page 266
# 14 – 38 even