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:<math>\sqrt{-1}= \pm i</math>.
:<math>\sqrt{-1}= \pm i</math>.
When a imaginary number is added to real number, they form a [[complex number]].
When a imaginary number is added to real number, they form a [[complex number]]. Imaginary numbers are mathematically useful because they ensure that every polynomial [[equation]] has a solution - for example, the equation <math>x^2+1=0</math> has no real solution.
The analysis of imaginary numbers forms the basis for the field of [[mathematics]] known as
The analysis of imaginary numbers forms the basis for the field of [[mathematics]] known as