[x-(1/x)] / [1+(1/x)] = 3
Multiply top and bottom of your fraction by x
so (x^2 - 1)/(x^2 + 1) = 3
cross-multiply
x^2 - 1 = 3x^2 + 3
x^2 = -2
no real solution
in complex numbers it would be
x = ±(√2)i
[x-(1/x)] / [1+(1/x)] = 3
1 answer