解方程:(x-5)/(x-3)-(x+1)/(x-1)=0

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/16 19:11:12
解方程:(x-5)/(x-3)-(x+1)/(x-1)=0

解方程:(x-5)/(x-3)-(x+1)/(x-1)=0
解方程:(x-5)/(x-3)-(x+1)/(x-1)=0

解方程:(x-5)/(x-3)-(x+1)/(x-1)=0
(x-5)/(x-3)-(x+1)/(x-1)=0
(x-5)/(x-3)=(x+1)/(x-1)
(x-5)(x-1)=(x+3)(x-3)
x^2-6x+5=x^2-9
-6x=-14
x=7/3

这都不会?

两边乘(x-5)(x-1)-(x-3)(x+1)=0
x²-6x+5-x²+2x+3=0
-4x+8=0
x=2
分式方程要检验
经检验,x=2是方程的解

(x-5)/(x-3)-(x+1)/(x-1)=0
两边乘以(x-3)(x-1)
(x-5)(x-1)-(x+1)(x-3)=0
x²-6x+5-x²+2x+3=0
-4x+8=0
x=8/4
x=2

原式等于:(x-1)(x-5)-(x-3)(x+1)=0
x²-6x+5-(x²-2x-3)=0
x²-6x+5-x²+2x+3=0
-4x+8=0
-4x=-8
x=2