(n^2-n-29)/n-6

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Solution for (n^2-n-29)/n-6 equation: 


D( n )

n = 0

n = 0

n = 0

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

(n^2-n-29)/n-6 = 0

(n^2-n-29)/n+(-6*n)/n = 0

n^2-n-6*n-29 = 0

n^2-7*n-29 = 0

n^2-7*n-29 = 0

n^2-7*n-29 = 0

DELTA = (-7)^2-(-29*1*4)

DELTA = 165

DELTA > 0

n = (165^(1/2)+7)/(1*2) or n = (7-165^(1/2))/(1*2)

n = (165^(1/2)+7)/2 or n = (7-165^(1/2))/2

(n-((7-165^(1/2))/2))*(n-((165^(1/2)+7)/2)) = 0

((n-((7-165^(1/2))/2))*(n-((165^(1/2)+7)/2)))/n = 0

((n-((7-165^(1/2))/2))*(n-((165^(1/2)+7)/2)))/n = 0 // * n

(n-((7-165^(1/2))/2))*(n-((165^(1/2)+7)/2)) = 0

( n-((165^(1/2)+7)/2) )

n-((165^(1/2)+7)/2) = 0 // + (165^(1/2)+7)/2

n = (165^(1/2)+7)/2

( n-((7-165^(1/2))/2) )

n-((7-165^(1/2))/2) = 0 // + (7-165^(1/2))/2

n = (7-165^(1/2))/2

n in { (165^(1/2)+7)/2, (7-165^(1/2))/2 }

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