1)*8-2)*5得：x^2+45xy-46y^2=0
即：(x+46y)(x-y)=0
得：x=-46y 或x=y
x=-46y代入1式得：2*46^2y^2-230y^2-2y^2=5,得：y^2=1/800,y=√2/40,-√2/40
x=y代入1式得：y^2=1,得：y=1 ,-1
因此共有四组(1,1),(-1,-1),(-46√2/40,√2/40),(46√2/40,-√2/40)