xy-(x+y)=1000

问题描述:

xy-(x+y)=1000

xy-x-y+1=1001
(x-1)(y-1)=1001=7*11*137*11*13是什么意思?7×11×13x、y 分别可以等于几啊?请给我个详细的过程OK?(x、y为正整数)谢谢x-1=1,y-1=1001,即x=2,y=1002或x-1=7,y-1=11×13即x=8,y=144或x-1=11,y-1=7×13即x=12,y=92或x-1=13,y-1=7×11即x=14,y=78或x-1=7×11,y-1=13即x=78,y=14或x-1=7×13,y-1=11即x=92,y=12或x-1=11×13,y-1=7即x=144,y=8或x-1=1003,y-1=1即x=1004,y=2