若x>0,y>0,且x-根号xy=6y,则x/y=
人气：232 ℃ 时间：2019-09-29 00:28:03
解答
x-√(xy)=6y
等号两边同除以y得：
(x/y)-√(x/y)=6
令√(x/y)=t
∴t²-t=6即t²-t-6=0
∴(t-3)(t+2)=0
解得:t=3或t=-2(负号舍去）
∴x/y=t²=9
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