n+18=26/n

Solution for n+18=26/n equation:

D( n )

n = 0

n = 0

n = 0

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

n+18 = 26/n // - 26/n

n-(26/n)+18 = 0

n-26*n^-1+18 = 0

1*n^1-26*n^-1+18*n^0 = 0

(1*n^2+18*n^1-26*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2+18*n^1-26*n^0) = 0

n^1

n^2+18*n-26 = 0

n^2+18*n-26 = 0

DELTA = 18^2-(-26*1*4)

DELTA = 428

DELTA > 0

n = (428^(1/2)-18)/(1*2) or n = (-428^(1/2)-18)/(1*2)

n = (2*107^(1/2)-18)/2 or n = (-2*107^(1/2)-18)/2

n in { (-2*107^(1/2)-18)/2, (2*107^(1/2)-18)/2} 

n in { (-2*107^(1/2)-18)/2, (2*107^(1/2)-18)/2 }