11/n=8-n

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Solution for 11/n=8-n equation: 


D( n )

n = 0

n = 0

n = 0

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

11/n = 8-n // - 8-n

n+11/n-8 = 0

1*n^1+11*n^-1-8*n^0 = 0

(1*n^2-8*n^1+11*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-8*n^1+11*n^0) = 0

n^1

n^2-8*n+11 = 0

n^2-8*n+11 = 0

DELTA = (-8)^2-(1*4*11)

DELTA = 20

DELTA > 0

n = (20^(1/2)+8)/(1*2) or n = (8-20^(1/2))/(1*2)

n = (2*5^(1/2)+8)/2 or n = (8-2*5^(1/2))/2

n in { (8-2*5^(1/2))/2, (2*5^(1/2)+8)/2} 

n in { (8-2*5^(1/2))/2, (2*5^(1/2)+8)/2 }

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