2x^1/3=x^-2/3

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Solution for 2x^1/3=x^-2/3 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

2/3*x-1/3*x^-2 = 0

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

-1*x^-3 = -2 // : -1

x^-3 = 2

-3 < 0

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

1 = 2*x^3 // : 2

1/2 = x^3

x^3 = 1/2 // ^ 1/3

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

x/3 = 0

1/3*x = 0 // : 1/3

x = 0

x in { 0} 

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

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