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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x^(-1/5)+6*x^(-2/5)-1 = 0
t_1 = x^(-1/5)
6*t_1^2+3*t_1^1-1 = 0
6*t_1^2+3*t_1-1 = 0
DELTA = 3^2-(-1*4*6)
DELTA = 33
DELTA > 0
t_1 = (33^(1/2)-3)/(2*6) or t_1 = (-33^(1/2)-3)/(2*6)
t_1 = (33^(1/2)-3)/12 or t_1 = (-(33^(1/2)+3))/12
t_1 = (-(33^(1/2)+3))/12
x^(-1/5)-((-(33^(1/2)+3))/12) = 0
x^(-1/5)+(1/12)*(33^(1/2)+3) = 0
1*x^(-1/5) = -(1/12*(33^(1/2)+3)) // : 1
x^(-1/5) = -1/12*(33^(1/2)+3)
-1/5 < 0
1/(x^(1/5)) = -1/12*(33^(1/2)+3) // * x^(1/5)
1 = -1/12*(33^(1/2)+3)*x^(1/5) // : -1/12*(33^(1/2)+3)
-12*(33^(1/2)+3)^-1 = x^(1/5)
x^(1/5) = -12*(33^(1/2)+3)^-1 // ^ 5
x = -248832*(33^(1/2)+3)^-5
t_1 = (33^(1/2)-3)/12
x^(-1/5)-((33^(1/2)-3)/12) = 0
1*x^(-1/5) = (33^(1/2)-3)/12 // : 1
x^(-1/5) = (33^(1/2)-3)/12
-1/5 < 0
1/(x^(1/5)) = (33^(1/2)-3)/12 // * x^(1/5)
1 = ((33^(1/2)-3)/12)*x^(1/5) // : (33^(1/2)-3)/12
12*(33^(1/2)-3)^-1 = x^(1/5)
x^(1/5) = 12*(33^(1/2)-3)^-1 // ^ 5
x = 248832*(33^(1/2)-3)^-5
x in { -248832*(33^(1/2)+3)^-5, 248832*(33^(1/2)-3)^-5 }
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