问题 解答题
(1)解方程:(x-3)2+4x(x-3)=0.
(2)解方程:2x2-4x-7=0
(3)计算:
12
+|
3
-2|+(2-π)0

(4)
24
-
1
2
-
2
(
3
-1)
答案

(1)把左边分解因式得:(x-3)(x-3+4x)=0,

x-3=0,x-3+4x=0,

解得:x1=3,x2=

3
5

(2)a=2,b=-4,c=-7,

b2-4ac=16-4×2×(-7)=72,

x=

-b±
b2-4ac
2a
=
72
4
=
2±3
2
2

x1=

2+3
2
2
,x2=
2-3
2
2

(3)原式=2

3
+2-
3
+1

=

3
+3;

(4)原式=2

6
×
2
2
-
6
+
2

=2

3
-
6
+
2

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