问题
解答题
(1)解方程:
(2)计算0.25×(-2)-2÷(16)-1-(π-3)0; (3)先化简(
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答案
(1)方程两边同乘(x-2),
得:x-1-3(x-2)=1,
整理解得x=2.
经检验,x=2是原方程的增根,
故原方程无解.
(2)原式=0.25×
×16-1=1-1=0.1 4
(3)(
+x+1 x-1
)÷1 x2-2x+1 x x-1
=[
+x+1 x-1
]•1 (x-1)2 x-1 x
=
+x+1 x 1 x(x-1)
=
+x2-1 x(x-1) 1 x(x-1)
=
,x x-1
取x=2,得原式=2.