Definition

The complex numbers give a solution to the equation x^2+1=0, how x^2=-1 has as a solution x=\pm{\sqrt{-1}}, which has no real solution

We will use as a solution x=\pm{i}. Where i is the imaginary unit of the complex number

We will call complex number expression z=a+b\cdot{i} (binomic form) where a, b\in{\mathbb{R}}. Being to the real part of the number and b its imaginary part

Are an ordered pair of real numbers (a, b) \in{\mathbb{R} \times \mathbb{R}}

In the event that b=0 then we can consider the number as real, since the actual numbers are a subset of the complex

The set of complex numbers is denoted as \mathbb{C}

Two basic types of operations are defined: addition and multiplication