It is very well known from Geometry that a regular polygon with seven sides is impossible construction by the unmarked straight edge and a compass, even though there are much APPROXIMATION methods such as using marked straight edge or using Origami, numeric approximations ... etc, where all those methods are very good approximations and not so different from using a directly suitable Protractor
But when you solve a polynomial say as $x^7 + 1$, the representation of complex roots seems to construct exactly that given polygon with seven regular sides
However, this also seems applicable to any polynomial $x^n + 1$ with any degree $n$, where $n$ is not of the form of Fermat's polygon integer number
So, the question is how valid upon the complex roots solution to those polygons that represent the exact construction for polygons not of the form of Fermat's polygon numbers?
Or is that only imaginable or approximated constructions like imaginable complex roots? wonder!