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Where Does Extraneous Come from?
Where Does Extraneous Come from?
Marcus Vance••6 min read
In general, extraneous solutions
extraneous solutions
In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.
arise when we perform non-invertible operations on both sides of an equation. (That is, they sometimes arise, but not always.) Squaring (or raising to any other even power) is a non-invertible operation.
What is the root of extraneous?
A solution to an equation that SEEMS to be right, but when we check it (by substituting it into the original equation) turns out NOT to be right.
What makes something extraneous?
An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.
Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.
