How do you identify extraneous solutions in

radical equations?= x + 2

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

solving

Let’s Review

Let’s Review5 is the

radicand

A Common Mistake

= -2

Core Lesson = x -7

2 = x -7 2

x-1= x2 -14x + 49

x2 -15x + 50 = 0

x = 5, x = 10

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

Guided Practice =

Extension Activities

How would you solve the following equation? Be sure to identify any extraneous solutions.

- =3

Extension Activities

What would be an extraneous solution for the following equation? How do you know?

= x

Quick Quiz

Solve for x; identify any extraneous solutions

Solve for x; identify any extraneous solutions

=

- =2