Solving septics in radicals
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| Format: | Artículo científico |
| Language: | en |
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Escuela Regional de Matemáticas
2008
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| _version_ | 1876430193570086912 |
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| author | Raghavendra G. Kulkarni |
| author_facet | Raghavendra G. Kulkarni |
| contents | Solving septics in radicals Raghavendra G. Kulkarni Física, Astronomía y Matemáticas octic equation Septic equation solvable equations polynomial decomposition A novel method to solve certain solvable septic equations is described. The method involves conversion of the given septic to an octic equation by adding a root to it, and then decomposing the octic equation into two fourth-degree polynomial factors. The resulting quartic equations are solved to obtain the roots of the given septic. The condition for the coefficients to satisfy inorder that the given septic is solvable in such fashion is derived. The behavior of roots of the septic is discussed. 2008 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46816202 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num. 2 Vol.XVI |
| format | Artículo científico |
| id | redalyc_46816202 |
| institution | Redalyc |
| language | en |
| publishDate | 2008 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | Solving septics in radicals Raghavendra G. Kulkarni Física, Astronomía y Matemáticas octic equation Septic equation solvable equations polynomial decomposition Solving septics in radicals Raghavendra G. Kulkarni Física, Astronomía y Matemáticas octic equation Septic equation solvable equations polynomial decomposition A novel method to solve certain solvable septic equations is described. The method involves conversion of the given septic to an octic equation by adding a root to it, and then decomposing the octic equation into two fourth-degree polynomial factors. The resulting quartic equations are solved to obtain the roots of the given septic. The condition for the coefficients to satisfy inorder that the given septic is solvable in such fashion is derived. The behavior of roots of the septic is discussed. 2008 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46816202 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num. 2 Vol.XVI |
| title | Solving septics in radicals |
| topic | Física, Astronomía y Matemáticas octic equation Septic equation solvable equations polynomial decomposition |
| url | https://www.redalyc.org/articulo.oa?id=46816202 |