n-10/n-2

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Solution for n-10/n-2 equation: 


D( n )

n = 0

n = 0

n = 0

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

n-(10/n)-2 = 0

n-10*n^-1-2 = 0

1*n^1-10*n^-1-2*n^0 = 0

(1*n^2-2*n^1-10*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-2*n^1-10*n^0) = 0

n^1

n^2-2*n-10 = 0

n^2-2*n-10 = 0

DELTA = (-2)^2-(-10*1*4)

DELTA = 44

DELTA > 0

n = (44^(1/2)+2)/(1*2) or n = (2-44^(1/2))/(1*2)

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

n in { (2-2*11^(1/2))/2, (2*11^(1/2)+2)/2} 

n in { (2-2*11^(1/2))/2, (2*11^(1/2)+2)/2 }

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