n^2/n-8-64/n-8

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Solution for n^2/n-8-64/n-8 equation: 


D( n )

n = 0

n = 0

n = 0

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

(n^2)/n-(64/n)-8-8 = 0

(n^2)/n-64*n^-1-8-8 = 0

1*n^1-64*n^-1-16*n^0 = 0

(1*n^2-16*n^1-64*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-16*n^1-64*n^0) = 0

n^1

n^2-16*n-64 = 0

n^2-16*n-64 = 0

DELTA = (-16)^2-(-64*1*4)

DELTA = 512

DELTA > 0

n = (512^(1/2)+16)/(1*2) or n = (16-512^(1/2))/(1*2)

n = (16*2^(1/2)+16)/2 or n = (16-16*2^(1/2))/2

n in { (16-16*2^(1/2))/2, (16*2^(1/2)+16)/2} 

n in { (16-16*2^(1/2))/2, (16*2^(1/2)+16)/2 }

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