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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x^(-2/3)-(13*x^(-1/3))-5 = 0
6*x^(-2/3)-13*x^(-1/3)-5 = 0
t_1 = x^(-1/3)
6*t_1^2-13*t_1^1-5 = 0
6*t_1^2-13*t_1-5 = 0
DELTA = (-13)^2-(-5*4*6)
DELTA = 289
DELTA > 0
t_1 = (289^(1/2)+13)/(2*6) or t_1 = (13-289^(1/2))/(2*6)
t_1 = 5/2 or t_1 = -1/3
t_1 = -1/3
x^(-1/3)+1/3 = 0
1*x^(-1/3) = -1/3 // : 1
x^(-1/3) = -1/3
-1/3 < 0
1/(x^(1/3)) = -1/3 // * x^(1/3)
1 = -1/3*x^(1/3) // : -1/3
-3 = x^(1/3)
x^(1/3) = -3 // ^ 3
x = -27
t_1 = 5/2
x^(-1/3)-5/2 = 0
1*x^(-1/3) = 5/2 // : 1
x^(-1/3) = 5/2
-1/3 < 0
1/(x^(1/3)) = 5/2 // * x^(1/3)
1 = 5/2*x^(1/3) // : 5/2
2/5 = x^(1/3)
x^(1/3) = 2/5 // ^ 3
x = 8/125
x in { -27, 8/125 }
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