6/n-4/1=8/2n

Solution for 6/n-4/1=8/2n equation:

D( n )

n = 0

n = 0

n = 0

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

6/n-(4/1) = (8/2)*n // - (8/2)*n

6/n-((8/2)*n)-(4/1) = 0

6/n-4*n-4 = 0

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

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

n^1*(6*n^0-4*n^2-4*n^1) = 0

n^1

6-4*n^2-4*n = 0

6-4*n^2-4*n = 0

DELTA = (-4)^2-(-4*4*6)

DELTA = 112

DELTA > 0

n = (112^(1/2)+4)/(-4*2) or n = (4-112^(1/2))/(-4*2)

n = (4*7^(1/2)+4)/(-8) or n = (4-4*7^(1/2))/(-8)

n in { (4*7^(1/2)+4)/(-8), (4-4*7^(1/2))/(-8)} 

n in { (4*7^(1/2)+4)/(-8), (4-4*7^(1/2))/(-8) }