x+1/x=3
x^2+1=3x
x^2-3x+1=0
x1=(3+√5)/2,x2=(3-√5)/2
(3+√5)/2-2/(3+√5)=√5
(3-√5)/2-2/(3-√5)=-√5
x-1/x=±√5
(x+1)/x=3
(x+1)/x-2=1
(1-x)/x=1
(1-x)/x=-1
x+1/x=3
x^2+2+(1/x)^2=9
x^2-2+(1/x)^2=5
(x-1/x)^2=5
x-1/x=±√5
x+1/x=3
x^2+1=3x
x^2-3x+1=0
x1=(3+√5)/2,x2=(3-√5)/2
(3+√5)/2-2/(3+√5)=√5
(3-√5)/2-2/(3-√5)=-√5
x-1/x=±√5
(x+1)/x=3
(x+1)/x-2=1
(1-x)/x=1
(1-x)/x=-1
x+1/x=3
x^2+2+(1/x)^2=9
x^2-2+(1/x)^2=5
(x-1/x)^2=5
x-1/x=±√5