摘要
对不定方程ab+cd=ef(a,b,c,d,e,f∈{n,n+1,n+2}),当六个参数a、b、c、d、e、f中有三个取n+2、两个取n+1、一个取n的形式进行了分类,并对它们的解的存在性进行了研究,获得了全部可能的解.
This paper discusses the solution of the diophantine equation in a special situation, that is the solution of all the formed equations when there are three n ＋ 2, two n ＋ 1 and one n in a, b, c, d, e, f by the method of elementary matheematics, and provides a practical and liable method for the solutions to all possibly- formed equations.
出处
《长沙大学学报》
2006年第2期10-11,共2页
Journal of Changsha University
关键词
不定方程
正整数解
存在性
diophantine equation
positive integral solution
existence
