n-4=5/n

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Solution for n-4=5/n equation: 


D( n )

n = 0

n = 0

n = 0

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

n-4 = 5/n // - 5/n

n-(5/n)-4 = 0

n-5*n^-1-4 = 0

1*n^1-5*n^-1-4*n^0 = 0

(1*n^2-4*n^1-5*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-4*n^1-5*n^0) = 0

n^1

n^2-4*n-5 = 0

n^2-4*n-5 = 0

DELTA = (-4)^2-(-5*1*4)

DELTA = 36

DELTA > 0

n = (36^(1/2)+4)/(1*2) or n = (4-36^(1/2))/(1*2)

n = 5 or n = -1

n in { -1, 5} 

n in { -1, 5 }

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