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

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

人气：463 ℃　时间：2020-04-04 20:05:43

解答

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