n-8/n-1

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Solution for n-8/n-1 equation: 


D( n )

n = 0

n = 0

n = 0

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

n-(8/n)-1 = 0

n-8*n^-1-1 = 0

1*n^1-8*n^-1-1*n^0 = 0

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

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

n^1

n^2-n-8 = 0

n^2-n-8 = 0

DELTA = (-1)^2-(-8*1*4)

DELTA = 33

DELTA > 0

n = (33^(1/2)+1)/(1*2) or n = (1-33^(1/2))/(1*2)

n = (33^(1/2)+1)/2 or n = (1-33^(1/2))/2

n in { (1-33^(1/2))/2, (33^(1/2)+1)/2} 

n in { (1-33^(1/2))/2, (33^(1/2)+1)/2 }

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