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FÓRMULAS RESOLUTIVAS DA EQUAÇÃO QUADRÁTICA E DA EQUAÇÃO CÚBICA SOBRE OS QUATÉRNIOS DE HAMILTON

2015; UNIVERSIDADE FEDERAL DE SANTA MARIA; Volume: 37; Linguagem: Inglês

10.5902/2179460x14630

ISSN

2179-460X

Autores

Ronie Peterson Dario, Gustavo Sanches Dalaz, José Roberto Freitas,

Tópico(s)

Mathematics and Applications

Resumo

http://dx.doi.org/10.5902/2179460X14630We study the resolubility in the Hamilton’s quaternions of quadratic and cubic equations. For the quadratic case, essentially we present more properly known results. We completely developed the Cardano’s Formula for the cubic equation with real coefficients. We also present the solution of the general cubic equation, under a hypothesis on the coefficients.

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