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若vx+v(y-1)+v(z-2)=1/2(x+y+z),则(x-z)^3=v是根号,帮帮忙吧!

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若vx+v(y-1)+v(z-2)=1/2(x+y+z),则(x-z)^3=
v是根号,帮帮忙吧!
▼优质解答
答案和解析
vx+v(y-1)+v(z-2)=1/2(x+y+z)
==>[x-2(根号x)+1]+[y-1-2(根号y-1)+1]+[z-2-2根号(z-2)+1]=0
==>(根号x-1)^2+[根号(y-1)-1]^2+[(根号z-2)-1]^2=0
==>根号x-1=0,根号(y-1)-1=0,根号(z-2)-1=0
==>x=1,y=2,z=3
==>(x-z)^3=-8