X-3/x=x-4/x-2

Solution for X-3/x=x-4/x-2 equation:

D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

X-(3/x) = x-(4/x)-2 // - x-(4/x)-2

X-x-(3/x)+4/x+2 = 0

X-x-3*x^-1+4/x+2 = 0

1*x^-1-1*x^1+2*x^0 = 0

(2*x^1-1*x^2+1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^1-1*x^2+1*x^0) = 0

x^1

2*x-x^2+1 = 0

2*x-x^2+1 = 0

DELTA = 2^2-(-1*1*4)

DELTA = 8

DELTA > 0

x = (8^(1/2)-2)/(-1*2) or x = (-8^(1/2)-2)/(-1*2)

x = (2*2^(1/2)-2)/(-2) or x = (-2*2^(1/2)-2)/(-2)

x in { (2*2^(1/2)-2)/(-2), (-2*2^(1/2)-2)/(-2)} 

x in { (2*2^(1/2)-2)/(-2), (-2*2^(1/2)-2)/(-2) }