已知实数x满足x+1/x=3,则x2+1/x2的值为_.

问题描述:

已知实数x满足x+

1
x
=3,则x2+
1
x2
的值为______.

由题意得,x+

1
x
=3,
两边平方得:x2+2+
1
x2
=9,
故x2+
1
x2
=7.
故答案为:7.