设实数x、y满足x+2xy-1=0,则x+y的取值范围是
问题描述：
设实数x、y满足x+2xy-1=0,则x+y的取值范围是
答
x≠0
x+2xy-1=0
1+2y-1/x=0
y=1/2x-1/2
x+y=x+1/2x-1/2
(1) x>0 x+1/2x>=2√(x*1/2x)=√2 x+y>=√2-1/2
(2) x