Published August 10, 2017 | Version v1

ON THE POSITIVE PELL EQUATION Y2 = 72X2 + 36

  • 1. Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, India
  • 2. Assistant Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, India
  • 3. M.Phil Scholar, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, India

Description

The binary quadratic equation represented by the positive pellian  is analysed for its distinct integer solutions. A few interesting relations among the solutions are given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and special Pythagorean triangle.

Files

10_IJRG17_SE08_10.pdf

Files (625.9 kB)

Name Size
md5:2847057e8360eacacec25493663bcd51
625.9 kB Preview Download