已知x^2-2xy+2y^2-y+4分之1=0,则x^5乘y的负5次方等于多少?

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已知x^2-2xy+2y^2-y+4分之1=0,则x^5乘y的负5次方等于多少?

已知x^2-2xy+2y^2-y+4分之1=0,则x^5乘y的负5次方等于多少?
已知x^2-2xy+2y^2-y+4分之1=0,则x^5乘y的负5次方等于多少?

已知x^2-2xy+2y^2-y+4分之1=0,则x^5乘y的负5次方等于多少?
x^2-2xy+y^2+y^2-y+1/4=0
(x-y)^2+(y-1/2)^2=0
(x-y)^2>=0
(y-1/2)^2>=0
(x-y)^2+(y-1/2)^2>=0
(x-y)=0
(y-1/2)=0
x=y=1/2
x^5y^(-5)
x^5*x^(-5)=1

x^2-2xy+2y^2-y+4分之1=0
(x^2-2xy+y^2)+(y^2-y+4分之1)=0
(x-y)^2+(y-1/2)^2=0
所以x-y=0 且y-1/2=0
x=y=1/2
则x^5乘y的负5次方=x^5乘x的负5次方=x^0=1