3/8X+3/2=6/X (x>0)
通分 3x^2+12x-48=0
x^2+4x-16=0
x=-2+2根号5 x=-2-2根号5(舍去)
y=6/(-2+2根号5)=(3根号5+3)/4
交点坐标(=-2+2根号5,(3根号5+3)/4 )