...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 3 | Year 2016 | Article Id. IJMTT-V40P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P522

Solution of Reducible Quintic Equation by Properties of Continuous Function


Rulda Ram
Abstract

the general quintic equation can be divided in reducible and irreducible quantities. This paper presents a technique to solve several type of reducible quintic equation. This technique is based on property of continuous function and the fact that if a polynomial equation with rational coefficient has rational solution then its improved equation with coefficient of highest degree term unity and integer coefficient has an integer solution. The integer solution of the improved equation can easily be find out by the property of continuous function i.e if f(α)0, then there exist an integer such that f(m)=0.

Keywords
continuous function, irreducible, reducible, quintic equation.
References

1. Burnside WS, Panton AW, “The theory of equation”, vol II, Longmans, co,London 1935.
2. Chowla, S, “On Quintic Equations Soluble by Radicals”, Math, Student 13, 84, 1945.
3. Uspensky J.Y, “Theory of equation”, Mc Grave Hill Book Company ,1948.
4. Emory Mc Clintock, “Further Researches in the theory of quintic equations”, Americal Journal of mathematics, vol-20, No.2(apro. 1898), PP.157-192.
5. Bruce C. Berndt, Blair K. Spearman, & Kenneth S. Williams, “Commentary On An Unpublished Lecture By G.N. Watson On Solving the quintic”, Math . Intelligencer 24, No.4 (2002), 15-33.
6. Titus Piezas III, “An Easy way to solve the solvable quintic using two sextics”, Dec.2003.

Citation :

Rulda Ram, "Solution of Reducible Quintic Equation by Properties of Continuous Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 3, pp. 186-190, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P522

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved