10x-1/x^2-x

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Solution for 10x-1/x^2-x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

10*x-x-x^-2 = 0

9*x-x^-2 = 0

x*(9-x^-3) = 0

-1*x^-3 = -9 // : -1

x^-3 = 9

-3 < 0

1/(x^3) = 9 // * x^3

1 = 9*x^3 // : 9

1/9 = x^3

x^3 = 1/9 // ^ 1/3

x = (1/9)^(1/3)

x = 0

x = 0

x in { 0} 

x = (1/9)^(1/3)

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