algebra

When solving a rational equation, why is it necessary to perform a check?

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  1. If you mean something like
    x^2 = 25
    then x = +5 or x = -5
    only one of the two solutions may solve your original problem. Therefore you try them both in the original problem that led to x^2 = 25 to see if one or the other or both works.

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  2. Basically to see if the value found for x will yield the same answer on both sides of the equation.

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