(n^2+13n+40)/8n

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Solution for (n^2+13n+40)/8n equation: 


n in (-oo:+oo)

n*((n^2+13*n+40)/8) = 0

(n*(n^2+13*n+40))/8 = 0

n^2+13*n+40 = 0

n^2+13*n+40 = 0

DELTA = 13^2-(1*4*40)

DELTA = 9

DELTA > 0

n = (9^(1/2)-13)/(1*2) or n = (-9^(1/2)-13)/(1*2)

n = -5 or n = -8

(n+8)*(n+5) = 0

(n*(n+8)*(n+5))/8 = 0

( n+5 )

n+5 = 0 // - 5

n = -5

( n+8 )

n+8 = 0 // - 8

n = -8

( n )

n = 0

n in { -5, -8, 0 }

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