(6x+6/x²+1)+(x的平方+1/x+1)=7
x+1/x^2+1=t
6t+1/t=7
6t^2-7t+1=0
(6t-1)(t-1)=0
t=1/6t=1
当t=1/6时
x+1/x^2+1=1/6
x^2+1=6x+6
x^2-6x-5=0
x=6+√(36+4*5*1)/2=3+√14
或x=6-√(36+4*5*1)/2=3-√14
当t=1时
x+1/x^2+1=1
x^2+1=x+1
x(x-1)=0
x=0或x=1