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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
41*x-52+5 = 51/x // - 51/x
41*x-(51/x)-52+5 = 0
41*x-51*x^-1-52+5 = 0
41*x^1-51*x^-1-47*x^0 = 0
(41*x^2-47*x^1-51*x^0)/(x^1) = 0 // * x^2
x^1*(41*x^2-47*x^1-51*x^0) = 0
x^1
41*x^2-47*x-51 = 0
41*x^2-47*x-51 = 0
DELTA = (-47)^2-(-51*4*41)
DELTA = 10573
DELTA > 0
x = (10573^(1/2)+47)/(2*41) or x = (47-10573^(1/2))/(2*41)
x = (10573^(1/2)+47)/82 or x = (47-10573^(1/2))/82
x in { (47-10573^(1/2))/82, (10573^(1/2)+47)/82}
x in { (47-10573^(1/2))/82, (10573^(1/2)+47)/82 }
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