是3/x+1/(x-1)+4/(x-2)+4/(x-3)+1/(x-4)+3/(x-5)=0吧?不然也太简单了.3/x+1/(x-1)+4/(x-2)+4/(x-3)+1/(x-4)+3/(x-5)=0的解共五个,为：x=5/2,x=(5±sqrt(7))/2,x=(5±sqrt(17))/2.