Arya Bhatta Journal of Mathematics and Informatics
Year : 2023, Volume : 15, Issue : 1
First page : ( 47) Last page : ( 52)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.
Article DOI : 10.5958/2394-9309.2023.00007.0

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

Shankari A Gowri^1,*, Sangavi S^2,**

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.

Top

Keywords

Cubic equation, Integrable solutions, Polygonal number.

Top