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

Integral Solutions of x2 + y2 = w2 + Dz2

  • Author:
  • M.A. Gopalan1, S. Vidhyalakshmi2
  • Total Page Count: 4
  • Page Number: 115 to 118

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

2Department of Mathematics, Shrimati Indira Gandhi College, Trichy, India. E-mail: vidhyaramanad@yahoo.co.in

AMS Mathematics Subject Classification: 11D25.

Abstract

A process to obtain nonzero integral solutions of the quadratic equations with four unknowns of the form x2 + y2 = w2 + Dz2 where D is positive and square free integer, has been presented. Given a solution, a method to generate a 2nd solution is also presented.

Keywords

Quadratic equation with fourunknowns, integral solutions