问题 解答题
先化简后求值:已知x=
2
+1
,求x+1-
x2
x-1
的值.
答案

x+1-

x2
x-1
=
x-1
1
-
x2-1
x-1
=
x2-1
x-1
-
x2
x-1
=-
1
x-1

当x=

2
+1时,原式=-
1
2
+1-1
=-
1
2
=-
2
2

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