2011洛阳模拟已知x属于R,y＞0、集合A={x2+x+1,-x,-x-1},集合B=｛-y,-y/2,y+1},若A=B,求x2+y2的值

题目

2011洛阳模拟已知x属于R,y＞0、集合A={x2+x+1,-x,-x-1},集合B=｛-y,-y/2,y+1},若A=B,求x2+y2的值

答案

已知x属于R,y＞0.
∵x2+x+1>0,A=B
∴x2+x+1=y+1
∵-x>-x-1,-y