Question

已知x-x分之一=1,则x四次方+2007x平方+1分之x平方等于多少

Answer 1

将x-1/x=1两边平方,得,

x²-2+1/x²=1,

整理.x²+1/x²=3,

所以x²/(x^4+2007x²+1)

=1/[(x^4+2007x²+1)/x²]

=1/(x²+2007+1/x²)

=1/(3+2007)

=1/2010