Math formulas: Complex numbers

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Definitions:

A complex number is written as where and are real numbers an , called the imaginary unit, has the property that .

The complex numbers and are called complex conjugate of each other.

Formulas:

Equality of complex numbers

Addition of complex numbers

Subtraction of complex numbers

Multiplication of complex numbers

Division of complex numbers

Polar form of complex numbers

Multiplication and division of complex numbers in polar form

De Moivre's theorem

Roots of complex numbers