已知x=2+1,求x+1-x2x-1的值.-数学

题目简介

已知x=2+1,求x+1-x2x-1的值.-数学

题目详情

已知x=
2
+1,求x+1-
x2
x-1
的值.
题型:解答题难度:中档来源:河北

答案

x+1-
x2
x-1
=
(x+1)(x-1)
x-1
-
x2
x-1
=
x2-1
x-1
-
x2
x-1

=
x2-1-x2
x-1
=-class="stub"1
x-1

x=
2
+1
时,
原式=-class="stub"1
2
+1-1
=-
2
2

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