若x,y都是实数,且满足y>√1⼀2-x +√x-1⼀2 +1 化简:|x-1|-√(x-1)눀 - √y눀-2y+1⼀y-1

2025-05-21 16:18:32
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回答(1):

y>√1/2-x +√x-1/2 +1
先由根号得:X≥1/2,X≤1/2,所以X=1/2
√(y²-2y+1)/(y-1)=√(y-1)²/(y-1)=|y-1|
y>√1/2-x +√x-1/2 +1=1,y>1
|x-1|-√(x-1)² - √y²-2y+1/y-1=|x-1|-|x-1|-|y-1|
=-|y-1|=-(y-1)-y+1