100/(X+3)+204/(X-1)=304/X 解这个分式方程,

问题描述:

100/(X+3)+204/(X-1)=304/X 解这个分式方程,

答:原式转化为:
100*[1/(x+3)-1/x]=204*[1/x-1/(x-1)]
即:-25*3/(x+3)/x=-51/(x-1)/x
所以:25(x-1)=17(x+3)
8x=76
x=19/2