1/5n-5n+25/n^2-n+6/n^2

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Solution for 1/5n-5n+25/n^2-n+6/n^2 equation: 


D( n )

n^2 = 0

n^2 = 0

n^2 = 0

1*n^2 = 0 // : 1

n^2 = 0

n = 0

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

(1/5)*n-(5*n)-n+25/(n^2)+6/(n^2) = 0

(1/5)*n-5*n-n+25/(n^2)+6/(n^2) = 0

31*n^-2-29/5*n = 0

n*(31*n^-3-29/5) = 0

31*n^-3 = 29/5 // : 31

n^-3 = 29/155

-3 < 0

1/(n^3) = 29/155 // * n^3

1 = 29/155*n^3 // : 29/155

155/29 = n^3

n^3 = 155/29 // ^ 1/3

n = (155/29)^(1/3)

n = 0

n = 0

n in { 0} 

n = (155/29)^(1/3)

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