x-x^(1/3)

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Solution for x-x^(1/3) equation: 


x in (-oo:+oo)

x-x^(1/3) = 0

t_1 = x^(1/3)

1*t_1^3-1*t_1^1 = 0

t_1^3-t_1 = 0

t_1*(t_1^2-1) = 0

1*t_1^2 = 1 // : 1

t_1^2 = 1

t_1^2 = 1 // ^ 1/2

abs(t_1) = 1

t_1 = 1 or t_1 = -1

t_1 = 0

t_1 = 0

t_1 = 1

x^(1/3)-1 = 0

1*x^(1/3) = 1 // : 1

x^(1/3) = 1

x^(1/3) = 1 // ^ 3

x = 1

t_1 = -1

x^(1/3)+1 = 0

1*x^(1/3) = -1 // : 1

x^(1/3) = -1

( -1 < 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, 0 }

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