If you set up the equations slightly differently it’s easier to see:
x = 1 + 1/(1+x)
x*(1+x) = (1+x)+1
x^2+x = x +2
x^2=2
If you set up the equations slightly differently it’s easier to see:
x = 1 + 1/(1+x)
x*(1+x) = (1+x)+1
x^2+x = x +2
x^2=2