x2-11x+1=0,求x2+1/x2的值.

问题描述:

x2-11x+1=0,求x2+

1
x2
的值.

∵x≠0,
∴x+

1
x
=11,
(x+
1
x
2=121,
∴x2+2+
1
x2
=121

∴x2+
1
x2
=119