问题 解答题
(1)计算:(-2)2-2÷
1
3
+20100

(2)计算:[(x+3)2+(x+3)(x-3)]÷2x;
(3)解分式方程:
3
x-1
=
2
x-2
答案

(1)(-2)2-2÷

1
3
+20100

=4-6+1

=-1;

(2)[(x+3)2+(x+3)(x-3)]÷2x,

=(x2+6x+9+x2-9)÷2x

=(2x2+6x)÷2x

=x+3;

(3)去分母得:3(x-2)=2(x-1)

化简得:3x-6=2x-2

解得:x=4

经检验,x=4是原方程的解,

∴原方程的解为x=4.

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