1Assistant Professor, Department of Mathematics, School of Engineering and Technology, Dhanalakshmi Srinivasan University, Samayapuram, Trichy-112, Tamil Nadu, India
2Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-02, Tamil Nadu, India
*Email: drntsmaths@gmail.com
Online published on 3 January, 2025.
The aim is to search for varieties of solutions in integers to the ternary homogeneous quadratic equation given by x2 = 22k+1 (3z2 - y2. Substitution technique jointly with factoring are employed for obtaining the integer solution patterns. Some nice connections with integer solutions are determined.
Ternary second degree equation, Consistent equation of second degree, Integer solutions Notations:
