关于不定方程组(m+2)x^2-my^2=2,(4m+4)y^2-(m+2)z^2=3m+2

On the system of Diophantine equations (m+2)x 2-my 2=2, (4m+4)y 2-(m+2)z 2=3m+2

研究了不定方程组（ｍ＋２）ｘ２－ｍｙ２＝２，（４ｍ＋４）ｙ２－（ｍ＋２）ｚ２＝３ｍ＋２（ｍ∈Ｎ且为奇数），给出了求其正整数解的一种方法．

This paper considers the system of Diophantine equations (m+2)x 2-my 2=2, (4m+4)y 2-(m+2)z 2=3m+2 (m∈N and m is an odd number), and gives a method of calculating of the positive integer solutions of this system.