Find roots using general roots of 2nd degree equation

x - 1/x = 2   mutiply through by x and rearrange

x^2 - 1  = 2x

x^2 - 2x - 1   = 0

Using the quadratic fornula, we have

x =     [ 2 ± √[ (-2)^2 - 4 (-1) ] / 2   =  

[ 2 ± √[ 8 ] / 2   = 

[ 2 ± 2√[ 2] / 2  =

1 ± √2