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On the Positive Pell EquationÂ

Author

Listed:
  • 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)

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.

Suggested Citation

  • N. Thiruniraiselvi* & M. A. Gopalan, 2020. "On the Positive Pell EquationÂ," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 6(7), pages 85-92, 07-2020.
    • Handle: RePEc:arp:ajoams:2020:p:85-92
    DOI: 10.32861/ajams.67.85.92
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