Делить на x^2
x^2-4x+3-4/x+1/x^2=0
(x^2+1/x^2)-4(x+1/x)+3=0
t=x+1/x
t^2-2=x+1/x^2
t^2-2-4t+3=0
t^2-4t+1=0
D=20
t=(4+-2sqrt(5))/2=2+-sqrt(5)
x+1/x=2+sqrt(5)
x^2-x(2+sqrt(5))+1=0
D=(2+sqrt(5))^2-4=4sqrt(5)+5
x=(2+sqrt(5)+-sqrt(4sqrt(5)+5))/2
x+1/x=2-sqrt(5)
x^2-(2-sqrt(5))x+1=0
D=4-4sqrt(5)+5-4=5-4sqrt(5)<0<br>x - нету корней