Extraneous Solution

Definition of Extraneous Solution

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

Video Examples: Extraneous solution when solving radical equations


Example of Extraneous Solution

    Consider the equation example of   Extraneous Solution .
    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

Ques: Solve  example of   Extraneous Solution and check whether the solution is extraneous.

    Choices:
    A. Yes
    B. No
    Correct Answer: B

Solution:

    Step 1: example of   Extraneous Solution
    Step 2:  example   Extraneous Solution
    Step 3:  examples of   Extraneous Solution
    Step 4: x = 144
    Step 5: Substitute the value of x in the original equation.
     define Extraneous Solution so, x = 144 is an extraneous solution.