解方程:x-1/x+2 +9/(x+2)(x-1)=3/x-1

问题描述:

解方程:x-1/x+2 +9/(x+2)(x-1)=3/x-1
解方程:x-1/x+2 +9/(x+2)(x-1)=3/(x-1)

两边乘(x+2)(x-1)
(x-1)²+9=3(x+2)
x²-2x+10=3x+6
x²-5x+4=0
(x-1)(x-4)=0
分母x-2≠0
所以x-4=0
x=4