Sociedad Colombiana de Matemáticas:Publicaciones
Lecturas Matemáticas
Volumen 29 [1] (2008)Páginas 5-12

Extracting the roots of septics by polynomial decomposition

Abstract. A method is described to solve septic equations in radicals. The salient feature of such a solvable septic is that the sum of its four roots is equal to the sum of its remaining three roots. The conditions to be satis¯ed by the coe±cients of the septic are given. A numerical example is solved using the proposed method.

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