x-40/x=1/6

Solution for x-40/x=1/6 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(40/x) = 1/6 // - 1/6

x-(40/x)-(1/6) = 0

x-40*x^-1-1/6 = 0

1*x^1-40*x^-1-1/6*x^0 = 0

(1*x^2-1/6*x^1-40*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-1/6*x^1-40*x^0) = 0

x^1

x^2+(-1/6)*x-40 = 0

x^2+(-1/6)*x-40 = 0

DELTA = (-1/6)^2-(-40*1*4)

DELTA = 5761/36

DELTA > 0

x = ((5761/36)^(1/2)-(-1/6))/(1*2) or x = (-(-1/6)-(5761/36)^(1/2))/(1*2)

x = ((5761/36)^(1/2)+1/6)/2 or x = (1/6-(5761/36)^(1/2))/2

x in { (1/6-(5761/36)^(1/2))/2, ((5761/36)^(1/2)+1/6)/2} 

x in { (1/6-(5761/36)^(1/2))/2, ((5761/36)^(1/2)+1/6)/2 }