已知正实数x,y满足2x+2y+xy=5 则xy的取值范围是什么?
4个回答
由已知x,y正实数
由2x+2y+xy=5得5-xy=2(x+y)≧2*2√(xy)
所以xy+4√(xy)-5≤0
[√(xy)+5][√(xy)-1]≤0
0<√(xy)≤1
故,0
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