n+4/n-5+(-3n-5)/n-5

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Solution for n+4/n-5+(-3n-5)/n-5 equation: 


D( n )

n = 0

n = 0

n = 0

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

(-3*n-5)/n+n+4/n-5-5 = 0

(-3*n-5)/n+(n^2)/n+4/n+(-5*n)/n+(-5*n)/n = 0

n^2-3*n-5*n-5*n-5+4 = 0

n^2-3*n-5*n-5*n-1 = 0

n^2-8*n-5*n-1 = 0

n^2-13*n-1 = 0

n^2-13*n-1 = 0

n^2-13*n-1 = 0

DELTA = (-13)^2-(-1*1*4)

DELTA = 173

DELTA > 0

n = (173^(1/2)+13)/(1*2) or n = (13-173^(1/2))/(1*2)

n = (173^(1/2)+13)/2 or n = (13-173^(1/2))/2

(n-((13-173^(1/2))/2))*(n-((173^(1/2)+13)/2)) = 0

((n-((13-173^(1/2))/2))*(n-((173^(1/2)+13)/2)))/n = 0

((n-((13-173^(1/2))/2))*(n-((173^(1/2)+13)/2)))/n = 0 // * n

(n-((13-173^(1/2))/2))*(n-((173^(1/2)+13)/2)) = 0

( n-((13-173^(1/2))/2) )

n-((13-173^(1/2))/2) = 0 // + (13-173^(1/2))/2

n = (13-173^(1/2))/2

( n-((173^(1/2)+13)/2) )

n-((173^(1/2)+13)/2) = 0 // + (173^(1/2)+13)/2

n = (173^(1/2)+13)/2

n in { (13-173^(1/2))/2, (173^(1/2)+13)/2 }

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