2x方-6xy+9y方-4x+4=0 xy=多少

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2x方-6xy+9y方-4x+4=0 xy=多少

2x方-6xy+9y方-4x+4=0 xy=多少
2x方-6xy+9y方-4x+4=0 xy=多少

2x方-6xy+9y方-4x+4=0 xy=多少
∵2x方-6xy+9y方-4x+4=0
所以(x-3y)²+(x-2)²=0
所以
x=2,y=2/3
所以xy=4/3

2x²-6xy+9y²-4x+4=0
x²-6xy+9y²+x²-4x+4=0
(x-3y)²+(x-2)²=0
平方项恒非负,和=0,各项均=0
x-2=0 x=2
x-3y=0 y=x/3=2/3
x=2 y=2/3
xy=2(2/3)=4/3

2x^2-6xy+9y^2-4x+4=0
(x-3y)^2+(x-2)^2=0
所以x=2 y=2/3
所以xy=4/3

x=2,y=2/3
xy=4/3