已知根号x 根号下y-1 根号下z-2=1
已知根号下x+根号下y-1+根号下z-2=1/2(x+y+z),求xyz.
人气:305 ℃ 时间:2020-07-07 00:58:08
解答
√x+√(y-1)+√(z-2)=(x+y+z)/2.2√x+2√(y-1)+√2(z-2)-x-y-z=0x+y+z-2√x-2√(y-1)-√2(z-2)=0(x-2√x+1)+[(y-1)-2√(y-1)+1]+[(z-2)-2√(z-2)+1]=0.(√x-1)²+[√(y-1)-1]²+[√(z-2)-1]²=0.x-1=0,y...
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