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x in (-oo:+oo)
x^(1/3)-(8*x) = 0
x^(1/3)-8*x = 0
t_1 = x^(1/3)
1*t_1^1-8*t_1^3 = 0
t_1-8*t_1^3 = 0
t_1*(1-8*t_1^2) = 0
-8*t_1^2 = -1 // : -8
t_1^2 = 1/8
t_1^2 = 1/8 // ^ 1/2
abs(t_1) = (1/8)^(1/2)
t_1 = (1/8)^(1/2) or t_1 = -(1/8)^(1/2)
t_1 = 0
t_1 = 0
t_1 = (1/8)^(1/2)
x^(1/3)-(1/8)^(1/2) = 0
1*x^(1/3) = (1/8)^(1/2) // : 1
x^(1/3) = (1/8)^(1/2)
x^(1/3) = (1/8)^(1/2) // ^ 3
x = (1/8)^(3/2)
t_1 = -(1/8)^(1/2)
x^(1/3)+(1/8)^(1/2) = 0
1*x^(1/3) = -(1/8)^(1/2) // : 1
x^(1/3) = -(1/8)^(1/2)
( -(1/8)^(1/2) < 0 i 1/3 in (0:1) ) => x należy do O
t_1 = 0
x^(1/3)+0 = 0
x^(1/3) = 0
1*x^(1/3) = 0 // : 1
x^(1/3) = 0
x = 0
x in { (1/8)^(3/2), 0 }
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