1998(x-y)+1989(y-z)+1990(z-x)=0,1998^2(x-y)+1989^2(y-z)+1990^2(z-x)=1989,求z-y的值?
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1998(x-y)+1989(y-z)+1990(z-x)=0,1998^2(x-y)+1989^2(y-z)+1990^2(z-x)=1989,求z-y的值?
1998(x-y)+1989(y-z)+1990(z-x)=0,1998^2(x-y)+1989^2(y-z)+1990^2(z-x)=1989,求z-y的值?
1998(x-y)+1989(y-z)+1990(z-x)=0,1998^2(x-y)+1989^2(y-z)+1990^2(z-x)=1989,求z-y的值?
由1998(x-y)+1989(y-z)+1990(z-x)=0,得
8x-9y+z=0.(1)
由1998^2(x-y)+1989^2(y-z)+1990^2(z-x)=1989,得
8*3988x-9*3987y+3979z=1989.(2)
(2)-(1)*3988,得
9y-9z=1989,y-z=221.
∵x-y=(x-z)+(z-y),
代入方程组并化简得2(x-z)+(z-y)=0(3)2(1988+1990)(x-z)+(1988+1989)(z-y)=-1989(4)
由(4)-(3)×(1988+1990)得:z-y=1989.
1998(x-y)+1989(y-z)+1990(z-x)=0,1998^2(x-y)+1989^2(y-z)+1990^2(z-x)=1989,求z-y
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