> 数学 >
若x,y满足y<
x-2
+
2-x
+4
,化简|y-4|-
y2-10y+25

人气:452 ℃ 时间:2020-01-27 12:45:18
解答
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.
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