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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^-3*x-(40/x)+5 = 0
x^-3*x-40*x^-1+5 = 0
x^-2-40*x^-1+5 = 0
t_1 = x^-1
1*t_1^2-40*t_1^1+5 = 0
t_1^2-40*t_1+5 = 0
DELTA = (-40)^2-(1*4*5)
DELTA = 1580
DELTA > 0
t_1 = (1580^(1/2)+40)/(1*2) or t_1 = (40-1580^(1/2))/(1*2)
t_1 = (2*395^(1/2)+40)/2 or t_1 = (40-2*395^(1/2))/2
t_1 = (40-2*395^(1/2))/2
x^-1-((40-2*395^(1/2))/2) = 0
1*x^-1 = (40-2*395^(1/2))/2 // : 1
x^-1 = (40-2*395^(1/2))/2
-1 < 0
1/(x^1) = (40-2*395^(1/2))/2 // * x^1
1 = ((40-2*395^(1/2))/2)*x^1 // : (40-2*395^(1/2))/2
2*(40-2*395^(1/2))^-1 = x^1
x = 2*(40-2*395^(1/2))^-1
t_1 = (2*395^(1/2)+40)/2
x^-1-((2*395^(1/2)+40)/2) = 0
1*x^-1 = (2*395^(1/2)+40)/2 // : 1
x^-1 = (2*395^(1/2)+40)/2
-1 < 0
1/(x^1) = (2*395^(1/2)+40)/2 // * x^1
1 = ((2*395^(1/2)+40)/2)*x^1 // : (2*395^(1/2)+40)/2
2*(2*395^(1/2)+40)^-1 = x^1
x = 2*(2*395^(1/2)+40)^-1
x in { 2*(40-2*395^(1/2))^-1, 2*(2*395^(1/2)+40)^-1 }
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