问题 解答题
(1)计算:
4a
a2-1
+
1+a
1-a

(2)解分式方程:
3
x
+
6
x-1
=
7
x2-x
答案

(1)原式=

4a
(a+1)(a-1)
-
a+1
a-1

=

4a-(a+1)2
(a+1)(a-1)

=-

a2-2a+1
(a+1)(a-1)

=-

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

=-

a-1
a+1

(2)去分母得3(x-1)+6x=7,

解得x=

10
9

经检验:x=

10
9
是原方程的解,

∴x=

10
9

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