In mathematics, an extraneous solution, also called a spurious solution, is a value that emerges from the process of solving a problem but does not actually satisfy the original problem, while a missing solution is a genuinely valid one that is lost somewhere during that same process. Both situations typically arise from applying an operation that is not invertible for some or all values of the variables involved, which breaks the chain of logical implications used to solve the problem from running in both directions.
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1. Extraneous and Missing Solutions (Wikipedia)
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In mathematics, an extraneous solution (or spurious solution) is one which emerges from the process of solving a problem but is not a valid solution to it.
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