6/n-5-2/5-n

Solution for 6/n-5-2/5-n equation:

D( n )

n = 0

n = 0

n = 0

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

6/n-n-(2/5)-5 = 0

6/n-n-2/5-5 = 0

6*n^-1-1*n^1-27/5*n^0 = 0

(6*n^0-1*n^2-27/5*n^1)/(n^1) = 0 // * n^2

n^1*(6*n^0-1*n^2-27/5*n^1) = 0

n^1

(-27/5)*n-n^2+6 = 0

(-27/5)*n-n^2+6 = 0

DELTA = (-27/5)^2-(-1*4*6)

DELTA = 1329/25

DELTA > 0

n = ((1329/25)^(1/2)-(-27/5))/(-1*2) or n = (-(-27/5)-(1329/25)^(1/2))/(-1*2)

n = ((1329/25)^(1/2)+27/5)/(-2) or n = (27/5-(1329/25)^(1/2))/(-2)

n in { ((1329/25)^(1/2)+27/5)/(-2), (27/5-(1329/25)^(1/2))/(-2)} 

n in { ((1329/25)^(1/2)+27/5)/(-2), (27/5-(1329/25)^(1/2))/(-2) }