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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
40*x-29 = 40/x // - 40/x
40*x-(40/x)-29 = 0
40*x-40*x^-1-29 = 0
40*x^1-40*x^-1-29*x^0 = 0
(40*x^2-29*x^1-40*x^0)/(x^1) = 0 // * x^2
x^1*(40*x^2-29*x^1-40*x^0) = 0
x^1
40*x^2-29*x-40 = 0
40*x^2-29*x-40 = 0
DELTA = (-29)^2-(-40*4*40)
DELTA = 7241
DELTA > 0
x = (7241^(1/2)+29)/(2*40) or x = (29-7241^(1/2))/(2*40)
x = (7241^(1/2)+29)/80 or x = (29-7241^(1/2))/80
x in { (29-7241^(1/2))/80, (7241^(1/2)+29)/80}
x in { (29-7241^(1/2))/80, (7241^(1/2)+29)/80 }
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