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)

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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)
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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)
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)

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

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
因为x-1≠0
所以x-4=0
x=4