International Journal of Engineering, Science and Mathematics
  • Year: 2014
  • Volume: 3
  • Issue: 4

On ternary quadratic diophantine equation: 3x2 + 2y2 = 20z2

  • Author:
  • M.A. Gopalan, S. Vidhyalakshmi, A. Sathya
  • Total Page Count: 10
  • Page Number: 66 to 75

Department of Mathematics, Shrimati Indira Gandhi College, Tiruchirappali-620 002

Subject classification number: 11D09

Abstract

The Ternary Quadratic Diophantine Equation given by 3x2 + 2y2 = 20z2 is analysed for its patterns of non-zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Keywords

Ternary Quadratic, Integral solutions