5/3x^2/3-10/3x^-1/3=0

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Solution for 5/3x^2/3-10/3x^-1/3=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

((5/3)*x^2)/3-(((10/3)*x^-1)/3) = 0

((5/3)*x^2)/3+(-10/9)*x^-1 = 0

5/9*x^2-10/9*x^-1 = 0

5/9*x^-1*(x^3-2) = 0

1*x^3 = 2 // : 1

x^3 = 2

x^3 = 2 // ^ 1/3

x = 2^(1/3)

5/(9*x) = 0

5/9*x^-1 = 0 // : 5/9

x^-1 = 0

x należy do O

x = 2^(1/3)

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