3x/x+1-5=x-11/x+1

Solution for 3x/x+1-5=x-11/x+1 equation:

D( x )

x = 0

x = 0

x = 0

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

(3*x)/x-5+1 = x-(11/x)+1 // - x-(11/x)+1

11/x-x+(3*x)/x-5-1+1 = 0

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

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

x^1*(11*x^0-1*x^2-2*x^1) = 0

x^1

11-x^2-2*x = 0

11-x^2-2*x = 0

DELTA = (-2)^2-(-1*4*11)

DELTA = 48

DELTA > 0

x = (48^(1/2)+2)/(-1*2) or x = (2-48^(1/2))/(-1*2)

x = (4*3^(1/2)+2)/(-2) or x = (2-4*3^(1/2))/(-2)

x in { (4*3^(1/2)+2)/(-2), (2-4*3^(1/2))/(-2)} 

x in { (4*3^(1/2)+2)/(-2), (2-4*3^(1/2))/(-2) }