Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2023
  • Volume: 15
  • Issue: 1

Integral Solutions of the Trinity Cubic Equation 5(p2 + q2) − 6(pq) + 4(p + q + 1) = 1600r3

1Assistant Professor, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Trichy-18, (TamilNadu)

2PG Scholar, Cauvery College for Women (Autonomous), Trichy-18, (Tamilnadu) India

*E-mail: gowrirajinikanth@gmail.com

**sangavisenthil28@gmail.com

Online Published on 08 June, 2023.

Abstract

The trinity cubic equation 5(p2 + q2) − 6(pq) + 4(p + q + 1) = 1600r3 is analyzed. To the trinity cubic equation under consideration of sequence of non-zero integral solutions is obtained. A few fascinating properties of the solutions are seen, as well as few distinct polygonal numbers.

Keywords

Cubic equation, Integrable solutions, Polygonal number