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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 }
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