SOLUTION: Find all solutions to the below equation, |z + 5 - 2i| =3 , where z is a complex number, and sketch the set of solutions on the complex plane.

This equation is equivalent to


    | z - (-5 + 2i) | = 3.


It describes all the points in complex plane, that are remoted exactly 3 units from the point (-5 + 2i)  on the the complex plane.


So, the solution to this equations are all those points in complex plane, that are remoted 3 units from the point (-5 + 2i).



In other words, the solution to this equations are the points on the complex plane that represent the circle 

of the radius of 3 units centered at the point (-5 + 2i).