如果x满足x2-3x+1=0,那么代数式x2+1/x2=_.
问题描述:
如果x满足x2-3x+1=0,那么代数式x2+
=______. 1 x2
答
∵x2-3x+1=0,
∴x-3+
=0,即x+1 x
=3,1 x
∴x2+
=(x+1 x2
)2-2=32-2=7.1 x
故答案为7.