问题 解答题
(1)计算:5
2
+
8
-7
18

(2)解方程:3x2+1=4x;
(3)化简求值:
a2-2a+1
a-1
-
a2+2a+1
a2+a
,其中a=
2
答案

(1)原式=5

2
+2
2
-21
2

=-14

2

(2)3x2-4x+1=0,

(x-1)(3x-1)=0,

x1=1,x2=

1
3

(3)原式=

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

=a-1-

|a+1|
a(a+1)

a=

2

∴a+1>0,

∴原式=a-1-

(a+1)
a(a+1)

=a-1-

1
a

a=

2
时,原式=a-1-
1
a

=

2
-1-
1
2

=

2
2
-1.

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