问题 填空题
已知x+
1
x
=3
,则
(1)x2+
1
x2
=______;
(2)x-
1
x
=______.
答案

(1)∵(x+

1
x
2=x2+
1
x2
+2,x+
1
x
=3

∴x2+

1
x2
=(x+
1
x
2-2=9-2=7;

(2)∵(x-

1
x
2=x2+
1
x2
-2=7-2=5,

x-

1
x
5

故答案为7;±

5

单项选择题
单项选择题