# What is extraneous solution?

##### 1 Answer

Nov 9, 2016

See explanation...

#### Explanation:

If you are given a problem A to solve, you may convert it by a set of steps into a problem B which is easier to solve. Some of the solutions of problem B may be solutions of the original problem, but some may not. The ones which are not are known as extraneous solutions.

This can happen if you multiply an equation through by an expression that may take the value

For example, suppose you are asked to solve:

#(x^2-4)/(x-2) = 0#

Multiplying both sides of the equation by

#x^2-4 = 0#

which has solutions

The value