On The Integral Solutions Of The Binary Quadratic Equation x2=15y2-11t
Journal Title: Scholars Journal of Engineering and Technology - Year 2014, Vol 2, Issue 2
Abstract
The binary quadratic Diophantine equation represented by , t odd is analysed for its non-zero distinct integer solutions. Employing the lemma of Brahmagupta, infinitely many integral solutions of the above Pell equation are obtained. The recurrence relations on the solutions are also presented. A few interesting relations among the solutions are given. Further, there exist no integer solutions when t is even. Keywords: Binary quadratic, Pell equation., Integer solutions
Authors and Affiliations
M. A. Gopalan, S. Vidhyalakshmi, A. Kavitha
Keywords
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