若1/x+x=3,则x4+x2+1x2=_.

问题描述:

1
x
+x=3,则
x4+x2+1
x2
=______.

原式=x2+1+

1
x2
=(x+
1
x
2-1;
∴当
1
x
+x=3
,原式=32-1=8.
故填8.