1. How do you identify extraneous solutions in radical equations? = x + 2

2. In this lesson you will learn to determine if a radical equation has an extraneous solution by solving

3. Let’s Review

4. 5 is the radicand

5. A Common Mistake =-2

6. Core Lesson = x -7 2 = x -7 2 x-1= x 2 -14x + 49 x 2 -15x + 50 = 0 x = 5, x = 10

7. In this lesson you have learned to check for extraneous solutions by substitution

8. Guided Practice =

9. Extension Activities How would you solve the following equation? Be sure to identify any extraneous solutions. - =3

10. What would be an extraneous solution for the following equation? How do you know? = x

11. Quick Quiz Solve for x; identify any extraneous solutions Solve for x; identify any extraneous solutions = - =2