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Imaginary number

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An imaginary number is a complex number whose real part is equal to 0. In the complex plane, these numbers lie on the imaginary axis. They are sometimes also refered to as pure imaginary numbers,

The complex number is imaginary if and only if , where is the imaginary unit and is the imaginary part function.

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Want to learn how to tackle those tough AMC/AIME/Olympiad algebra problems? Check out Art of Problem Solving's NEW Intermediate Algebra by Richard Rusczyk and Mathew Crawford. Over 1600 problems!
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