解这个方程组X^2 + Y^2 -2X + 4Y = 20(X-Y)^2 + 6X - 6Y + 8 =0
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解这个方程组
X^2 + Y^2 -2X + 4Y = 20
(X-Y)^2 + 6X - 6Y + 8 =0
X^2 + Y^2 -2X + 4Y = 20
(X-Y)^2 + 6X - 6Y + 8 =0
X^2 + Y^2 -2X + 4Y = 20.(1) (X-Y)^2 + 6X - 6Y + 8 =0 (X-Y)^2 + 6X - 6Y + 8 =0 (x-y)^2+6(x-y)+8=0 (x-y+4)(x-y+2)=0 x-y=-4,y=x+4 或x-y=-2.y=x+2 将y=x+4和y=x+2分别代入方程(1) x^2-2x+(x+4)^2+4(x+4)=20 2x^2+10x+12=0 x^2+5x+6=0 (x+2)(x+3) x=-2或x=-3 y=x+4=2或y=x+4=1 x^2-2x+(x+2)^2+4(x+2)=20 2x^2+6x-8=0 x^2+3x-4=0 (x+4)(x-1)=0 x=-4或x=1 y=x+2=-2或y=x+2=3 解得:x=-2,y=2 或x=-3,y=1 或x=-4,y=-2 或x=1,y=3
解这个方程组X^2 + Y^2 -2X + 4Y = 20(X-Y)^2 + 6X - 6Y + 8 =0
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