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Complex number

21 bytes removed, 00:52, 20 December 2007
technicality--both i and -i are square roots of -1
A '''complex number''' is a [[number]] composed of two parts - a [[Real number|real]] component and and [[Imaginary number|imaginary]] component, of the form <math>a + bi</math>, where ''a'' and ''b'' are real numbers and ''<math>i'' is the [[square root]] of negative ^2 = -1</math>.
Whereas the real numbers can be represented as all the possible points on an infinitely extended [[number line]], to represent all the complex numbers requires the use of a two dimensional coordinate system, usually with the real components on the horizontal axis (the ''abscissa'') and the imaginary components on the vertical axis (the ''ordinate'').