Definition of Extraneous Solution
Example 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.
Correct Answer: B
Step 4: x = 144
Step 5: Substitute the value of x in the original equation.
, so, x = 144 is an extraneous solution.
Related Terms for Extraneous Solution