问题 解答题
(1)计算:(-2)2+20110-2cos60°
(2)计算:(
x2
x-1
-
2x
1-x
x
x-1

(3)解方程:2x2-1=3x.
答案

(1)原式=4+1-2×

1
2

=4;

(2)原式=(

x2
x-1
+
2x
x-1
)•
x-1
x

=

x(x+2)
x-1
x-1
x

=x+2;

(3)2x2-1=3x,

整理得:2x2-3x-1=0,

这里a=2,b=-3,c=-1,

∵△=b2-4ac=9+8=17,

∴x=

17
4

则x1=

3+
17
4
,x2=
3-
17
4

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