Solution of A Cubic Equation with Triangular Number as Coefficients
A. Gnanam1, S. Krithika2
1A. Gnanam Assistant Professor, Department of Mathematics Details, Government Arts College, Trichy-22.
2S. Krithika, Assistant Professor ,Department of Mathematics, Seethalakshmi Ramaswami College, Trichy-2 ,
Manuscript received on 05 August 2019. | Revised Manuscript received on 10 August 2019. | Manuscript published on 30 September 2019. | PP: 8867-8870 | Volume-8 Issue-3 September 2019 | Retrieval Number: C6675098319/2019©BEIESP | DOI: 10.35940/ijrte.C6675.098319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: While solving a cubic equation one root is always identified using trial and error method. Here in this paper first the interval in which the real root appears is found and the real root is identified using continued fraction method. It is illustrated by an equation having polygonal numbers as coefficients.
Keywords: Continued Fraction, Polygonal Numbers, Partial Fraction. Notations: 1. [a0, a1, a2, a3,—-an ] : Continued Fraction Expansion.
2. P d(n) : Polygonal Number of Side d and Rank n .
Scope of the Article: Applied Mathematics and Mechanics