问题 解答题
①化简:(1+
1
x
)÷
x2-1
x2

②解下列方程:
3
2x-2
+
1
1-x
=3.
答案

①(1+

1
x
)÷
x2-1
x2

=

x+1
x
÷
(x+1)(x-1)
x2

=

x+1
x
×
x2
(x+1)(x-1)

=

x
x-1

②方程的两边同乘2(x-1),得

3-2=3(2x-2),

解得:x=

7
6

检验:把x=

7
6
代入2(x-1)≠0.

故原方程的解为:x=

7
6

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