摘要
由实际问题自然抽象出不定方程 x^2+x=2y^2.对该不定方程,利用母函数方法及连分数理论求得它的全部正整数解,并给出了具体求解公式.
This paper abstracts the non-deterministic equation x^2+x=2y^2 from pratical prob- lems.Using generating function and continued fractions,all the positive solutions of the equation are found.For these solutions,a set of eoncrete formulas and some remarks are also given.
