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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 3 | Year 2016 | Article Id. IJMTT-V40P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P521

Explanation of Method to Particular Quintic Equation X5+5Ax3+5A2x+B=0


Rulda Ram
Abstract

A particular quintic is the quintic which satisfy some specific condition. In other words, a quintic with co-efficient satisfy some perticular condition. This paper gives a simple explanation of method to find the roots and to discuss the nature of roots of the particular quintic equation which is known as, “De moivers quintic” i.e x5+5Ax3+5A2x+B=0.

Keywords
Quintic equation, reducible, irreducible, real root, complex root.
References

1. Uspensky J.Y., “Theory of equation”, Mc Grave Hill Book Company ,1948.
2. William S.Burnside, “The theory of equation”, Dower,New York,1960.
3. Brahma N. Vagi BS.Sharma BD, “Ttheory of equation”, kedarnath, ramnath, 1965.
4. David S. Dummit, “Solving solvable quintic”, mathematics of computation (1991).
5. Jean-Pierre Tignol, Galois, “Theory of algebraic equation”, Word Scientific,2001.
6. Emory Mc Clintock, “Further Researches in the theory of quintic equations”, Americal Journal of mathematics, vol-20, No.2(apro. 1898), PP.157-192.
7. Titus Piezas III , “An Easy way to solve the solvable quintic using two sextics” Dec.2003.

Citation :

Rulda Ram, "Explanation of Method to Particular Quintic Equation X5+5Ax3+5A2x+B=0," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 3, pp. 183-185, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P521

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