TERNARY HOMOGENEOUS QUADRATIC x² + y² = 145z²
By
J. Shanthi and M. A. Gopalan
Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Trichy-620 002, Tamilnadu, India-620 002.
Email: shanthivishvaa@gmail.com, mayilgopalan@gmail.com
(Received: January 30, 2024; In format: February 11, 2024; Revised: March 03, 2025; Accepted: May 15, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55114
Abstract
Many integer solutions to ternary homogeneous quadratic given by x² + y² = 145z² are determined. Various choices of integer solutions are obtained through employing linear transformations and using factorization.
2020 Mathematical Sciences Classification: 11D09
Keywords and Phrases: Second degree with three unknowns, Homogeneous quadratic, Integer Solutions.