On the system of double equations with three unknowns $d+ay+bx+cx^2=z^2‎ , ‎y+z=x^2$

Author(s):

Mayilrangam Gopalan , Aarthy Thangam , Ozen Ozer*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

‎The system of double equations with three unknowns given by $d+ay+bx+cx^2=z^2‎ , ‎y+z=x^2$ is analysed for its infinitely many non-zero distinct integer solutions‎. ‎Different sets of integer solutions have been presented‎. ‎A few interesting relations among the solutions are given‎.

Keywords:

System of double equations , Pair of equations with three unknowns , Integer solutions , Pell Equations , Special Numbers

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
575 to 581
https://magiran.com/p2261237