x-(1/x^6)

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Solution for x-(1/x^6) equation: 


D( x )

x^6 = 0

x^6 = 0

x^6 = 0

1*x^6 = 0 // : 1

x^6 = 0

x = 0

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

x-(1/(x^6)) = 0

x-x^-6 = 0

x-x^-6 = 0

x*(1-x^-7) = 0

-1*x^-7 = -1 // : -1

x^-7 = 1

-7 < 0

1/(x^7) = 1 // * x^7

1 = 1*x^7 // : 1

1 = x^7

x^7 = 1 // ^ 1/7

x = 1

x = 0

x = 0

x in { 0} 

x = 1

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