Integer Solution/s of the Polynomial Diophantine Equation (x2- y2 - 14x + 2y + 45) = 0

Authors

  • Sudhanshu Aggarwal Department of Mathematics, National Post Graduate College, Barhalganj Gorakhpur, Uttar Pradesh, India
  • Vidya Sagar Chaubey Department of Mathematics, B.R.D.P.G. College, Deoria, Uttar Pradesh, India
  • Deepak Kumar Department of Mathematics, S.R.P.S. College, Jaintpur, Muzaffarpur, Bihar, India
  • Lalit Mohan Upadhyaya Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand, India

Keywords:

Integers, Solution, Polynomial Diophantine Equation, Divisors, Factorization Method

Abstract

This study determines the integer solution/s of the polynomial Diophantine equation (x2- y2 - 14x + 2y + 45) = 0, where x, and y are integers. For this authors use factorization method. Results of this study show that the polynomial Diophantine equation (x2 - y2 - 14x +2y + 45)=0 satisfy by the ordered pairs (x,y)=(9,0), (9,2), (5,2), and (5,0).

DOI: https://doi.org/10.24321/3051.424X.202602

Published

2026-02-22

Issue

Vol. 2 No. 1 (2026): Journal of Advanced Research in Computational Linguistics: Journal of Computer Science Language

Section

Research Article