解方程:13/(x-4)-10/(x-3)=4/(x-5)-1/(x-1)

问题描述:

解方程:13/(x-4)-10/(x-3)=4/(x-5)-1/(x-1)
答案是x1=-1/3,x2=7

13/(x-4)-10/(x-3)=4/(x-5)-1/(x-1)
左右两边分别通分得
(3x+1)/(x-4)(x-3)=(3x+1)/(x-5)(x-1)
∴3x+1=0或(x-4)(x-3)=(x-5)(x-1)
∴x=-1/3或x=7