已知x+y=2,xy=1,求(y+1/x+1)+(x+1/y+1)的值,
问题描述:
已知x+y=2,xy=1,求(y+1/x+1)+(x+1/y+1)的值,
答
x+y=2,xy=1,
解得
x=y=1
所以
(y+1/x+1)+(x+1/y+1)
=(1+1)/(1+1)+(1+1)/(1+1)
=1+1
=2