About
An imaginary number i is one solution to <math>x^2 = -1</math> and is a part of the definition of a complex number
<MATH> i = \sqrt { -1 } </MATH>
It was invented because formulas sometimes required the manipulation of square roots of negative numbers.
Numbers such as i, -i, 3i, 2.17i are called imaginary number.
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Example
- Problem: <math>x^2 = -9</math>
- Solution: x = 3i