X^2/3-4x^-4/3=0

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Solution for X^2/3-4x^-4/3=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

x^-4 = 1/4*X^2

-4 < 0

1/(x^4) = 1/4*X^2 // * x^4

1 = 1/4*X^2*x^4 // : 1/4*X^2

4*X^-2 = x^4

x^4 = 4*X^-2 // ^ 1/4

abs(x) = 4^(1/4)*X^(-1/2)

x = 4^(1/4)*X^(-1/2) or x = -(4^(1/4)*X^(-1/2))

x in { 4^(1/4)*X^(-1/2), -(4^(1/4)*X^(-1/2)) }

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