FORMULAS FOR QUADRATIC AND CUBIC EQUATIONS OVER HAMILTON QUATERNIONS

Authors

  • Ronie Peterson Dario UTFPR
  • Gustavo Sanches Dalaz
  • José Roberto Freitas

DOI:

https://doi.org/10.5902/2179460X14630

Keywords:

equação quadrática, quatérnios, equação cúbica.

Abstract

http://dx.doi.org/10.5902/2179460X14630

We 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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Published

2015-08-07

How to Cite

Dario, R. P., Dalaz, G. S., & Freitas, J. R. (2015). FORMULAS FOR QUADRATIC AND CUBIC EQUATIONS OVER HAMILTON QUATERNIONS. Ciência E Natura, 37, 390–400. https://doi.org/10.5902/2179460X14630