File:ImaginaryUnit5.svg · Wikimedia Commons · See Wikimedia Commons
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The imaginary unit is a mathematical tool defined as the square root of negative one, which ordinarily has no solution in everyday numbers. It's used to create complex numbers, a broader number system that extends mathematics beyond what regular numbers alone can express.
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在數學、物理及工程學裏，虛數單位是指二次方程的解。虽然沒有這樣的实数可以滿足這個二次方程，但可以通過虛數單位将實數系統延伸至复数系統。延伸的主要動機為有很多實係數多項式方程式無實數解。例如剛才提到的方程式就無實數解。可是倘若我們允許解答為虛數，那麼這方程式以及所有的多項式方程式都有解。虛數單位標記為，在电机工程和相关领域中则标记为，这是为了避免与电流（记为或）混淆。
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