Question

已知X的平方减6X加1等于0求X的4次方加X的平方加1分之X的平方？

Answer 1

x^2-6x+1=0
两边同除以x：x-6+1/x=0,x+1/x=6
两边平方：x^2+1/x^2+2=36,x^2+1/x^2=34
x^2/(x^4+x^2+1)
分子分母同除以x^2：
= 1/(x^2+1+1/x^2)
= 1/(x^2+1/x^2+1)
= 1/(34+1)
= 1/35,4,