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?_数学解答

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?

人气：147 ℃　时间：2019-08-18 21:43:58

解答

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