Imaginary number

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An imaginary number is a number whose square is negative. The term was coined by René Descartes in the seventeenth century and was meant to be derogatory: obviously such numbers don't exist. Nowadays we find the imaginary numbers on the vertical axis of the complex number plane. Every imaginary number can be written as ib where b is a real number and i the imaginary unit with the property that i2 = -1. (In electrical engineering and related fields, the imaginary unit is often written as j to avoid confusion with a changing current, traditionally denoted by i.) Every complex number can be written uniquely as a sum of a real number and an imaginary number.