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In applied mathematics, a transcendental equation is an equation over the real numbers that is not algebraic, that is, if at least one of its sides describes a transcendental function.Examples include:
A transcendental equation need not be an equation between elementary functions, although most published examples are.
In some cases, a transcendental equation can be solved by transforming it into an equivalent algebraic equation.Some such transformations are sketched below; computer algebra systems may provide more elaborated transformations.
In general, however, only approximate solutions can be found.
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