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Scholars Journal of Physics, Mathematics and Statistics | Volume-4 | Issue-03
On The Positive Pell Equation y2 40x2 1
K. Meena, S.Vidhyalakshmi, M.Vanitha
Published: Sept. 20, 2017 |
127
74
DOI: 10.21276/sjpms
Pages: 127-132
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Abstract
The binary quadratic equation respected by the positive pellian y2 40x2 1 is analysed for its distinct
integer solutions. A few interesting among the solutions are given. Further, employing the solutions of the above
hyperbola, we have obtained of other choices of hyperbolas, parabolas and special Pythagorean triangle.
Keywords: Binary quadratic, hyperbola, parabola, integral solutions, pell equation.
2010 Mathematics Subject Classification: 11D09