Imaginary number
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An imaginary number in mathematics is any number that contains the imaginary unit, defined as, <math>i^{2} = -1</math>
An imaginary number is of the form, <math>\theta i</math>, where <math>\theta</math> is a real number.
For example <math>\sqrt{-1}</math> has imaginary solution of,
- <math>\sqrt{-1}=\pm i</math>.
When a imaginary number is added to real-number, they form a complex number.
The analysis of imaginary numbers forms the basis for the field of mathematics known as complex analysis.