若x,y满足y<x-2+2-x+4,化简|y-4|-y2-10y+25.
问题描述:
若x,y满足y<
+
x-2
+4,化简|y-4|-
2-x
.
y2-10y+25
答
由题意可得:x-2≥0,2-x≥0,联立可得x=2,
y<
+
x-2
+4可变形为y-4<
2-x
+
x-2
,
2-x
所以y-4<0,y<4,则
|y-4|=4-y,
=
y2-10y+25
=5-y,
(y-5)2
则|y-4|-
=4-y-5+y=-1
y2-10y+25
则可得答案为:-1.