(n^2+10n+18)/(n+5)

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Solution for (n^2+10n+18)/(n+5) equation: 


D( n )

n+5 = 0

n+5 = 0

n+5 = 0

n+5 = 0 // - 5

n = -5

n in (-oo:-5) U (-5:+oo)

(n^2+10*n+18)/(n+5) = 0

n^2+10*n+18 = 0

n^2+10*n+18 = 0

DELTA = 10^2-(1*4*18)

DELTA = 28

DELTA > 0

n = (28^(1/2)-10)/(1*2) or n = (-28^(1/2)-10)/(1*2)

n = (2*7^(1/2)-10)/2 or n = (-2*7^(1/2)-10)/2

(n-((-2*7^(1/2)-10)/2))*(n-((2*7^(1/2)-10)/2)) = 0

((n-((-2*7^(1/2)-10)/2))*(n-((2*7^(1/2)-10)/2)))/(n+5) = 0

( n-((-2*7^(1/2)-10)/2) )

n-((-2*7^(1/2)-10)/2) = 0 // + (-2*7^(1/2)-10)/2

n = (-2*7^(1/2)-10)/2

( n-((2*7^(1/2)-10)/2) )

n-((2*7^(1/2)-10)/2) = 0 // + (2*7^(1/2)-10)/2

n = (2*7^(1/2)-10)/2

n in { (-2*7^(1/2)-10)/2, (2*7^(1/2)-10)/2 }

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