解方程组 x^2+2xy+y^2=9,(x-y)^2-4(x-y)+3=0

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解方程组 x^2+2xy+y^2=9,(x-y)^2-4(x-y)+3=0
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解方程组 x^2+2xy+y^2=9,(x-y)^2-4(x-y)+3=0
解方程组 x^2+2xy+y^2=9,(x-y)^2-4(x-y)+3=0

解方程组 x^2+2xy+y^2=9,(x-y)^2-4(x-y)+3=0
即(x+y)²=9
(x-y-3)(x-y-1)=0
所以
x+y=3,x-y=1
x+y=3,x-y=3
x+y=-3,x-y=1
x+y=-3,x-y=3
所以
x=2,y=1
x=3,y=0
x=-1,y=-2
x=0,y=-3

(x+y)^2=9 x+y=3或-3
(x-y-3)*(x-y-1)=0 x-y=3或1
综上,x=3,y=0或x=2,y=1或x=0,y=-3或x=-1,y=-2