x^(4/3)=2x^(1/3)

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Solution for x^(4/3)=2x^(1/3) equation: 


x in (-oo:+oo)

x^(4/3) = 2*x^(1/3) // - 2*x^(1/3)

x^(4/3)-(2*x^(1/3)) = 0

x^(4/3)-2*x^(1/3) = 0

t_1 = x^(1/3)

1*t_1^4-2*t_1^1 = 0

t_1^4-2*t_1 = 0

t_1*(t_1^3-2) = 0

1*t_1^3 = 2 // : 1

t_1^3 = 2

t_1^3 = 2 // ^ 1/3

t_1 = 2^(1/3)

t_1 = 0

t_1 = 0

t_1 = 2^(1/3)

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

1*x^(1/3) = 2^(1/3) // : 1

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

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

x = 2

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 { 2, 0 }

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