问题
解答题
(1)先化简,再求值:(1-
(2)解方程:
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答案
(1)原式=
÷x-1 x
=(x-1)2 (x+1)(x-1)
•x-1 x
=(x+1)(x-1) (x-1)2
.x+1 x
当x=2时,原式=
=2+1 2
.3 2
(2)方程的两边同乘(x-1)(x+2),得
x(x+2)-(x-1)(x+2)=3,
x2+2x-x2-x+2=3,
解得x=1.
检验:把x=-1代入(x-1)(x+2)=0.
∴原方程无解.