The Beal´s Conjecture a Geometric Proof

This article has the main goal of present a solution to The Beal Conjecture and Prize, that were widely announced in an article that appeared in the December 1997 issue of Notices of the American Mathematical Society. So far, there is no demonstration for the Conjecture, and the prize money of 1, 000, 000 dollars is being held by the AMS. It is known that Beal’s Conjecture is a generalization of Fermat’s Last Theorem. By the year of 1993, Fermat s Last Theorem was mathematically demonstrated by Andrew Willes. Nevertheless, the British mathematician used sophisticated concepts and tools, such as modern algebraic geometry, that were not known at Fermat s time. Thus, not yet resigned to that demonstration, we employed basic concepts of algebra and analytic geometry leading to a neater and straighter solution for the Beal´s conjecture, and yet a simpler resolution. After all, as Da Vinci stated centuries ago, “simplicity is the ultimate sophistication”.