若實(shí)數(shù)x,y,z滿足x+1/y=4,y+1/z=1,z+1/x=7/3,則xyz的值為_.
若實(shí)數(shù)x,y,z滿足
x+=4,
y+=1,
z+=,則xyz的值為______.
優(yōu)質(zhì)解答
因?yàn)?span>4=x+
=x+
=x+
=x+
=x+
,
所以4(4x-3)=x(4x-3)+7x-3,
解得
x=.
從而
z=?=?=,
y=1?=1?=.
于是
xyz=××=1.
故答案為1.
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