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On the Positive Pell EquationÂ

N. Thiruniraiselvi* and M. A. Gopalan
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N. Thiruniraiselvi*: Assistant Professor, Dept of Mathematics, Nehru Memorial College, Trichy- 621 007, Affiliated to Bharathidasan University, India
M. A. Gopalan: Professor, Dept of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Affiliated to Bharathidasan University, India

Academic Journal of Applied Mathematical Sciences, 2020, vol. 6, issue 7, 85-92

Abstract: The binary quadratic equation   representing the hyperbola is studied for its non-zero distinct integer solutions. A few interesting properties among the solutions are presented. Employing the integer solutions of the equation under consideration, integer solutions for special straight lines, hyperbolas and parabolas are exhibited.

Keywords: Binary quadratic; Hyperbola; Parabola; Integer solutions; Pell equation (search for similar items in EconPapers)
Date: 2020
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Handle: RePEc:arp:ajoams:2020:p:85-92