x^(1/3)-x^2

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Solution for x^(1/3)-x^2 equation: 


x in (-oo:+oo)

x^(1/3)-x^2 = 0

t_1 = x^(1/3)

1*t_1^1-1*t_1^6 = 0

t_1-t_1^6 = 0

t_1*(1-t_1^5) = 0

-1*t_1^5 = -1 // : -1

t_1^5 = 1

t_1^5 = 1 // ^ 1/5

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 = 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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