解分式方程:1/(x+2)+1/(2x+3)+1/(3x-4)=1/(6x-1)




题目稍作槐消改正 1/6x+1

1/(x+2)+1/(2x+3)+1/(3x-4)=1/(6x+1)
1/备胡(2x+3)+1/(3x-4)=1/(6x+1) -1/(x+2)
5x-1/(2x+3)(3x-4)= 1-5x/(6x+1)(x+2)
(2x+3)(3x-4)=-(6x+1)(x+2)
6x²+7x+5=0
(2x-1)(3x+5)=0
x=1/2 x= -5/3
检验 当
x=1/2 或仿明拦 x= -5/3 时 (x+2)(2x+3)(3x-4)(6x+1)≠0