x^2-25/x^3

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Solution for x^2-25/x^3 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

x^2-(25/(x^3)) = 0

x^2-25*x^-3 = 0

x^2-25*x^-3 = 0

x^2*(1-25*x^-5) = 0

-25*x^-5 = -1 // : -25

x^-5 = 1/25

-5 < 0

1/(x^5) = 1/25 // * x^5

1 = 1/25*x^5 // : 1/25

25 = x^5

x^5 = 25 // ^ 1/5

x = 25^(1/5)

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x = 25^(1/5)

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