Theorem :

If is a positive integer, the complex number  has exactly  distinct complex roots.

The complex roots are , where 

The complex number is .

First convert the complex number into polar form.

Compare the complex number with .

Here .

The angle is .

The polar form of  is .

The complex fourth roots of  are

, here and and .

Find the four complex roots.

For ,

For ,

For ,

For ,

The complex fourth roots of  are 

Graph the complex number   is,

.

The complex fourth roots of  are 

Graph the complex number   is

.