((20/3)x^-1/3)-((5/3)x^2/3)=0

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Solution for ((20/3)x^-1/3)-((5/3)x^2/3)=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

((20/3)*x^-1)/3-(((5/3)*x^2)/3) = 0

(-5/9)*x^2+((20/3)*x^-1)/3 = 0

20/9*x^-1-5/9*x^2 = 0

5/9*x^-1*(4-x^3) = 0

-1*x^3 = -4 // : -1

x^3 = 4

x^3 = 4 // ^ 1/3

x = 4^(1/3)

5/(9*x) = 0

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

x^-1 = 0

x należy do O

x = 4^(1/3)

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