(8n^2-48n-56)/(n-7)

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Solution for (8n^2-48n-56)/(n-7) equation: 


D( n )

n-7 = 0

n-7 = 0

n-7 = 0

n-7 = 0 // + 7

n = 7

n in (-oo:7) U (7:+oo)

(8*n^2-(48*n)-56)/(n-7) = 0

(8*n^2-48*n-56)/(n-7) = 0

8*n^2-48*n-56 = 0

8*(n^2-6*n-7) = 0

n^2-6*n-7 = 0

DELTA = (-6)^2-(-7*1*4)

DELTA = 64

DELTA > 0

n = (64^(1/2)+6)/(1*2) or n = (6-64^(1/2))/(1*2)

n = 7 or n = -1

8*(n+1)*(n-7) = 0

8*(n+1) = 0

( 8 )

8 = 0

n belongs to the empty set

( n+1 )

n+1 = 0 // - 1

n = -1

n = -1

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