OTHER ALGEBRAIC SOLUTIONS TO THE THIRD AND FOURTH GRADE POLYMONIC EQUATIONS

Luis Alberto Ramirez-Castellanos

Luis Alberto Ramirez-Castellanos Universidad nacional abierta y a distancia (UNAD)

Keywords: Algebraic solution, polynomial equation, Cardano`s formula, resolvent auxiliary equation, Taylor's formula, almost-symmetric equation. Soluci\'{o}n algebraica, ecuaci\'{o}n polin\'{o}mica, formula de Cardano, ecuaci\'{o}n auxiliar resolvente, formula de Taylor, ecuaci\'{o}n casi-sim\'{e}trica.

Abstract

In this manuscript is shown first another reasoning to arrive at the construction of the Cardano`s formula; with this same reasoning the determination of another formula for the solution of the equations of third degree and later two solutions for the equations of fourth degree is obtained; Finally, another solution is given to the fourth degree equation, treating it as an almost-symmetric equation, subjecting it to a transformation.

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References

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