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

	On the system of double equations with three unknowns $d+ay+bx+cx^2=z^2‎ , ‎y+z=x^2$
International Journal of Nonlinear Analysis and Applications
مقاله 45، دوره 12، شماره 1، مرداد 2021، صفحه 575-581 اصل مقاله (327.86 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4840
نویسندگان
Mayilrangam Gopalan¹؛ Aarthy Thangam¹؛ Ozen Ozer^* ²
¹Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, India
²‎Department of Mathematics‎, ‎Faculty of Science and Arts‎, ‎Kirklareli University‎, ‎39100‎, ‎Kirklareli‎, ‎Turkey‎
چکیده
‎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.
کلیدواژه‌ها
‎System of double equations‎؛ ‎Pair of equations with three unknowns‎؛ ‎Integer solutions‎؛ ‎Pell Equations‎؛ ‎Special Numbers‎
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