已知x,y为实数,且满足1+x?(y?1)1?y=0,那么x2011-y2011=______

已知x,y为实数,且满足1+x?(y?1)1?y=0,那么x2011-y2011=______.
2025-05-20 22:51:03
推荐回答(1个)
回答1:

由题意知1+x≥0,1-y≥0
∴y-1≤0

1+x
?(y?1)
1?y
=0可化为
1+x
+
(1?y)3
=0

又1+x≥0,1-y≥0
∴1+x=0,1-y=0
∴x=-1,y=1
∴x2011-y2011=(-1)2011-12011=-1-1=-2
故答案为:-2