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D( x )
x^3-(9*x^12) = 0
x^3-(9*x^12) = 0
x^3-(9*x^12) = 0
x^3-9*x^12 = 0
t_1 = x^3
1*t_1^1-9*t_1^4 = 0
t_1-9*t_1^4 = 0
t_1*(1-9*t_1^3) = 0
-9*t_1^3 = -1 // : -9
t_1^3 = 1/9
t_1^3 = 1/9 // ^ 1/3
t_1 = (1/9)^(1/3)
t_1 = 0
t_1 = 0
t_1 = (1/9)^(1/3)
x^3-(1/9)^(1/3) = 0
1*x^3 = (1/9)^(1/3) // : 1
x^3 = (1/9)^(1/3)
x^3 = (1/9)^(1/3) // ^ 1/3
x = (1/9)^(1/9)
t_1 = 0
x^3+0 = 0
x^3 = 0
1*x^3 = 0 // : 1
x^3 = 0
x = 0
x in (-oo:0) U (0:(1/9)^(1/9)) U ((1/9)^(1/9):+oo)
(5*x^8-(45*x^17))/(x^3-(9*x^12)) = 0
(5*x^8-45*x^17)/(x^3-9*x^12) = 0
5*x^8-45*x^17 = 0
5*x^8*(1-9*x^9) = 0
-9*x^9 = -1 // : -9
x^9 = 1/9
x^9 = 1/9 // ^ 1/9
x = (1/9)^(1/9)
5*x^8*(x-(1/9)^(1/9)) = 0
x^3-9*x^12 = 0
x^3*(1-9*x^9) = 0
-9*x^9 = -1 // : -9
x^9 = 1/9
x^9 = 1/9 // ^ 1/9
x = (1/9)^(1/9)
x^3*(x-(1/9)^(1/9)) = 0
(5*x^8*(x-(1/9)^(1/9)))/(x^3*(x-(1/9)^(1/9))) = 0
( 5*x^8 )
5*x^8 = 0 // : 5
x^8 = 0
x = 0
( x-(1/9)^(1/9) )
x-(1/9)^(1/9) = 0 // + (1/9)^(1/9)
x = (1/9)^(1/9)
x in { 0}
x in { (1/9)^(1/9)}
x belongs to the empty set
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