(n^2-2n-15)/(n-2)

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Solution for (n^2-2n-15)/(n-2) equation: 


D( n )

n-2 = 0

n-2 = 0

n-2 = 0

n-2 = 0 // + 2

n = 2

n in (-oo:2) U (2:+oo)

(n^2-(2*n)-15)/(n-2) = 0

(n^2-2*n-15)/(n-2) = 0

n^2-2*n-15 = 0

n^2-2*n-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

n = (64^(1/2)+2)/(1*2) or n = (2-64^(1/2))/(1*2)

n = 5 or n = -3

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

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

( n+3 )

n+3 = 0 // - 3

n = -3

( n-5 )

n-5 = 0 // + 5

n = 5

n in { -3, 5 }

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