x-40/x=14

Solution for x-40/x=14 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(40/x) = 14 // - 14

x-(40/x)-14 = 0

x-40*x^-1-14 = 0

1*x^1-40*x^-1-14*x^0 = 0

(1*x^2-14*x^1-40*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-14*x^1-40*x^0) = 0

x^1

x^2-14*x-40 = 0

x^2-14*x-40 = 0

DELTA = (-14)^2-(-40*1*4)

DELTA = 356

DELTA > 0

x = (356^(1/2)+14)/(1*2) or x = (14-356^(1/2))/(1*2)

x = (2*89^(1/2)+14)/2 or x = (14-2*89^(1/2))/2

x in { (14-2*89^(1/2))/2, (2*89^(1/2)+14)/2} 

x in { (14-2*89^(1/2))/2, (2*89^(1/2)+14)/2 }