问题 解答题
(1)已知:x+
1
x
=2,试求出x2+
1
x2
的值;
(2)已知:x2-2x-1=0,你能求出
x2
x4+1
的值吗?
答案

(1)x2+

1
x2
=(x+
1
x
2-2,

∵x+

1
x
=2,

∴x2+

1
x2
=(x+
1
x
2-2=4-2=2;

(2)能求出.

∵x2-2x-1=0,

∴x2-1=2x,

x2
x4+1 
=
x2
(x2-1) 2+2x2
=
x2
4x2+2x2
=
1
6

单项选择题
单项选择题