若x，y满足y＜x-2+2-x+4，化简|y-4|-y2-10y+25．

题型：解答题难度：一般来源：不详

若x，y满足y＜

x-2

+

2-x

+4，化简|y-4|-

y2-10y+25

．

答案

由题意可得：x-2≥0，2-x≥0，联立可得x=2，
y＜

x-2

+

2-x

+4可变形为y-4＜

x-2

+

2-x

，
所以y-4＜0，y＜4，则
|y-4|=4-y，

y2-10y+25

=

(y-5)2

=5-y，
则|y-4|-

y2-10y+25

=4-y-5+y=-1
则可得答案为：-1．