(x4+2x2+1)/x2+(x2+1)/x=2
(x2+1)2/x2+(x2+1)/x+1/4=9/4
{(x2+1)/x+1/2}=9/4
x2-x+1=0
(x-1/2)2+3/4=0 x无解
3/(x2-2x-3)=2x2-4x+1
3/2=(x2-2x-3)(x2-2x-3)
x4-4x3=3/2x2+5x-3/2=0
x2(x2-4x+4)-5/2(x2-2x+1)+1=0
x2(x-2)2-5/2(x-1)2+1=0
换元 (y+1)2(y-1)2-5/2y2+1=0
(y2-1)2-5/2(y2-1)+3/2=0
{(y2-1)-5/4}2=1/16 y=根号5/2 x=1+根号5/2
大概就是这个步骤 可能中间有计算错误 就是这个思路