= Extraneous and missing solutions
{wiki=Extraneous_and_missing_solutions}
In the context of solving equations, particularly in algebra and calculus, the terms "extraneous solutions" and "missing solutions" refer to specific types of solutions that can arise during the solving process. \#\#\# Extraneous Solutions Extraneous solutions are solutions that do not satisfy the original equation, even though they may appear to be valid solutions of the equation after manipulation. This often occurs when both sides of an equation are manipulated in a way that introduces solutions that do not work in the original equation.
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