On the Polynomial Diophantine Equation (x2 - y2 - 22x - 6y + 105) = 0

Authors

  • Sudhanshu Aggarwal Assistant Professor, Department of Mathematics, National PG 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
  • Dilip Kumar Department of Mathematics, Hindu College, Moradabad, Uttar Pradesh, India

Keywords:

Integers, Solution, Polynomial Diophantine Equation, Divisors

Abstract

In this paper, authors examine the polynomial Diophantine equation (x2 - y2 - 22x - 6y + 105) = 0, where x, and y are integers, for finding it’s integer solution/s. Results of this paper indicate that this equation has four solutions in the set of integers. These are (x,y) = (15,-6), (15,o), (7,0), and (7,-6).

DOI: https://doi.org/ 10.24321/2455.7021.202512

Author Biography

Sudhanshu Aggarwal, Assistant Professor, Department of Mathematics, National PG College, Barhalganj, Gorakhpur, Uttar Pradesh, India.

https://orcid.org/0000-0001-6324-1539

Published

2025-12-25

Issue

Vol. 10 No. 3&4 (2025): Journal of Advanced Research in Applied Mathematics and Statistics

Section

Research Article