x-4/x=15/x+4

Solution for x-4/x=15/x+4 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(4/x) = 15/x+4 // - 15/x+4

x-(4/x)-(15/x)-4 = 0

x-4*x^-1-15*x^-1-4 = 0

1*x^1-19*x^-1-4*x^0 = 0

(1*x^2-4*x^1-19*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-4*x^1-19*x^0) = 0

x^1

x^2-4*x-19 = 0

x^2-4*x-19 = 0

DELTA = (-4)^2-(-19*1*4)

DELTA = 92

DELTA > 0

x = (92^(1/2)+4)/(1*2) or x = (4-92^(1/2))/(1*2)

x = (2*23^(1/2)+4)/2 or x = (4-2*23^(1/2))/2

x in { (4-2*23^(1/2))/2, (2*23^(1/2)+4)/2} 

x in { (4-2*23^(1/2))/2, (2*23^(1/2)+4)/2 }