Advances in Theoretical and Applied Mathematics

  • Year: 2007
  • Volume: 2
  • Issue: 1

Integral solutions of quartic diophantine equation 2x2z2 = y2(x2 + z2)

  • Author:
  • Manju Somanath1,, N. Vanitha1,, M.A. Gopalan2
  • Total Page Count: 4
  • DOI:
  • Page Number: 37 to 40

1Department of Mathematics, Cauvery College for Women, Trichy, India.

2Department of Mathematics, National College, Trichy, India. E-mail: gopalanma@yahoo.com

*E-mail: manjuajil@yahoo.com,

**E-mail: vanittha_1978@yahoo.co.in

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Abstract

We search for nonzero integral triples (x, y, z) satisfying the quartic Diophantine equation 2x2z2 = y2 (x2 + z2). A few interesting relations among the solutions are also given.