Proof of Fermat’s Last Theorem for n=3 Using Tschirnhaus Transformation

Abstract

This paper gives a proof on Fermat’s Last Theorem
(FLT) for n=3 by firstly reducing the Fermat’s equation to a
cubic equation of one variable and then using Tschirnhaus
transformation to reduce it to a depressed cubic. By showing that
this last equation has non-rational roots it was concluded that the
Fermat’s equation cannot have integer solutions.