2x^2+6xy+9y^2-6x+9=0,求x,y的值.

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2x^2+6xy+9y^2-6x+9=0,求x,y的值.2x^2+6xy+9y^2-6x+9=0,求x,y的值.2x^2+6xy+9y^2-6x+9=0,求x,y的值.即(x²+6xy+9y

2x^2+6xy+9y^2-6x+9=0,求x,y的值.
2x^2+6xy+9y^2-6x+9=0,求x,y的值.

2x^2+6xy+9y^2-6x+9=0,求x,y的值.
即(x²+6xy+9y²)+(x²-6x+9)=0
(x+3y)²+(x-3)²=0
所以x+3y=x-3=0
所以x=3
y=-x/3=-1

x=3,y=-1

2x^2+6xy+9y^2-6x+9=0,x^2+6xy+9y^2+x^2-6x+9=0,
(x+3y)^2+(x-3)^2=0,x+3y=0,x-3=0,x=3,y=-1

(x+3y)^+(x-3)^=0则分别等于零
x=-3y,x=3,y=-9