On The Homogeneous Biquadratic Equation with 5 Unknowns
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 134 | Views: 364

Research Paper | Mathematics | India | Volume 4 Issue 12, December 2015 | Popularity: 6.6 / 10


     

On The Homogeneous Biquadratic Equation with 5 Unknowns

Dr. P. Jayakumar, J. Meena


Abstract: The Homogenous biquadratic equation with five unknowns given by is considered and analyzed for finding its non zero distinct integral solutions. Introducing the linear transformations x = u + v, y = u v, z = 2uv +1, w =2uv-1 and employing the method of factorization different patterns of non zero distinct integer solutions of the equation under the above equation are obtained. A few interesting relations between the integral solutions and the special numbers namely Polygonal numbers, Star number, Pronic number and Gnomonic number are exhibited.


Keywords: Homogeneous equation, Integral solutions, Polygonal number and special number


Edition: Volume 4 Issue 12, December 2015


Pages: 656 - 658


DOI: https://www.doi.org/10.21275/NOV151842



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Dr. P. Jayakumar, J. Meena, "On The Homogeneous Biquadratic Equation with 5 Unknowns ", International Journal of Science and Research (IJSR), Volume 4 Issue 12, December 2015, pp. 656-658, https://www.ijsr.net/getabstract.php?paperid=NOV151842, DOI: https://www.doi.org/10.21275/NOV151842

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