问题 解答题
化简或解方程:
(1)
2a
a2-4
-
1
a-2

(2)(
3
x-1
-
1
x+1
)•
x2-1
x

(3)
1-x
x-2
=
1
2-x
-2
答案

(1)原式=

2a-(a+2)
(a+2)(a-2)
=
a-2
(a+2)(a-2)
=
1
a+2

(2)原式=

3x+3-x+1
(x+1)(x-1)
(x+1)(x-1)
x
=
2x+4
x

(3)去分母得:1-x=-1-2(x-2),

去括号得:1-x=-1-2x+4,

移项合并得:x=2,

经检验x=2是增根,原分式方程无解.

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