Advances in Theoretical and Applied Mathematics
  • Year: 2006
  • Volume: 1
  • Issue: 2

On Bivariate Quadratic Equation kxy + 2m(x + y) = x2y2

  • Author:
  • M.A. Gopalan1, S. Vidhyalakshmi2
  • Total Page Count: 4
  • Page Number: 163 to 166

1Department of Mathematics, National College, Trichy, India. E-mail: gopalanma@yahoo.com

2Department of Mathematics, Shrimati Indira Gandhi College, Trichy, India. E-mail: vidhyaramanand@yahoo.com

AMS Mathematics Subject Classification: 11D09.

Abstract

Non-trivial integral solutions of the bivariate quadratic equation kxy + 2m (x + y) = x2y2, (k, m ≠ 0) are obtained. Recurrence relations for x,y are given. Interesting results among the solutions are presented.

Keywords

Bivariate quadratic equation, Integral solutions