xy-(x+y)=1000

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xy-(x+y)=1000
xy-(x+y)=1000

xy-(x+y)=1000
xy-x-y+1=1001
(x-1)(y-1)=1001=7*11*13

xy-(x+y)=1000
xy-x-y=1000
x(y-1)-(y-1)-1=1000
(x-1)(y-1)=1001

二元二次方程有无数组解。其中正整数解有以下八组：
xy-(x+y)=1000
xy-x-y=1000
x(y-1)-(y-1)-1=1000
(x-1)(y-1)=1001=1*1001=7*143=11*91=13*77
x-1=1，y-1=1001 x=2，y=1002
x-1=1001，y-1=1 x=1002，y=2
...

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二元二次方程有无数组解。其中正整数解有以下八组：
xy-(x+y)=1000
xy-x-y=1000
x(y-1)-(y-1)-1=1000
(x-1)(y-1)=1001=1*1001=7*143=11*91=13*77
x-1=1，y-1=1001 x=2，y=1002
x-1=1001，y-1=1 x=1002，y=2
x-1=7，y-1=143 x=8，y=144
x-1=143，y-1=7 x=144，y=8
x-1=11，y-1=91 x=12，y=92
x-1=91，y-1=11 x=92，y=12
x-1=13，y-1=77 x=14，y=78
x-1=77，y-1=13 x=78，y=14

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无数解

xy-(x+y)=1000 |x|/x+y/|y|+xy/|xy|= 证明|xy|=|x||y| 证明|xy|=|x||y| 计算：( 根号xy-xy/x+根号xy)÷根号xy-y/x-y= 化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)= y'-xy=x/y通解 xy=y'ln(y'/x) sin(xy)=x 求dx/dysec(xy)-y ]/x 还是 x/[sec(xy)-y] （-3x^y+2xy)-( )=4x^+xy （xy-x的平方）*x-y分之xy= (xy-x平方)乘以x-y份之xy=? (XY-X^2)除以X-Y/XY=? [(2xy的立方)整体的平方/(3x)]*[8xy/4xy]其中x=1000,y=-1 [(2xy^3)^2÷(3x)]·[8xy÷(4xy)],其中x=1000,y=-1 1/x-1/y=x,求5y+xy-5y/y-xy-x=? x*x+xy=3,xy+y*y=2,则x*x+2xy+y*y=________? X²+2xy+y²/xy乘x²-2xy+y²/xy+y²=