(3/x+2)+1/x=4/x²+2x这道题怎么做

(3/x+2)+1/x=4/x²+2x这道题怎么做
(3/x+2)+1/x=4/x²+2x
这道题怎么做

(3/x+2)+1/x=4/x²+2x这道题怎么做
答：(3/x+2)+1/x=4/x²+2x
4/x+2=4/x²+2x
2/x+1=2/x²+x
两边同乘以x²：
2x+x²=2+x³
x³-x²+2x-2=0
(x-1)x²+2(x-1)=0
(x-1)(x²+2)=0
x-1=0
x=1
经检验,x=1是原分式方程的根