1Associate Professor, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Trichy-18, (Tamil Nadu)
2Assistant Professor, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), (Affiliated to Bharathidasan University), Trichy-18, (Tamil Nadu) India
*E-mail: janakikarun@rediffmail.com
Online published on 3 January, 2025.
The trinity cubic equation 6(x2 + y2 ) - 8xy + 3(2x + 2y + 3) = 500z3 is analyzed. The trinity cubic equation is solved with a succession of non-zero integral solutions. The solutions have a few interesting features, as well as a diligence portrayal of exquisite number paradigms.
Cubic equation, Integrable solutions, Polygonal number
