**Definition of Extraneous Solution**

- Extraneous Solution is a solution of the simplified form of an equation that does not satisfy the original equation.

- Consider the equation .

Squaring both sides and solving the equation for*y*, we get,*y*= 1, 25.

Check that only*y*= 25 satisfies the original equation, not*y*= 1. So,*y*= 1 is an extraneous solution.

**Solved Example on Extraneous Solution**

Solve and check whether the solution is extraneous.

Choices:

A. Yes

B. No

Correct Answer: B

Solution:

Step 1:

Step 2:

Step 3:

Step 4:x= 144

Step 5:Substitute the value ofxin the original equation.

, so,x= 144 is an extraneous solution.

**Related Terms for Extraneous Solution**

- Solution
- Equation