n-5/n-8=2/7

Solution for n-5/n-8=2/7 equation:

D( n )

n = 0

n = 0

n = 0

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

n-(5/n)-8 = 2/7 // - 2/7

n-(5/n)-(2/7)-8 = 0

n-5*n^-1-2/7-8 = 0

1*n^1-5*n^-1-58/7*n^0 = 0

(1*n^2-58/7*n^1-5*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-58/7*n^1-5*n^0) = 0

n^1

n^2+(-58/7)*n-5 = 0

n^2+(-58/7)*n-5 = 0

DELTA = (-58/7)^2-(-5*1*4)

DELTA = 4344/49

DELTA > 0

n = ((4344/49)^(1/2)-(-58/7))/(1*2) or n = (-(-58/7)-(4344/49)^(1/2))/(1*2)

n = ((4344/49)^(1/2)+58/7)/2 or n = (58/7-(4344/49)^(1/2))/2

n in { (58/7-(4344/49)^(1/2))/2, ((4344/49)^(1/2)+58/7)/2} 

n in { (58/7-(4344/49)^(1/2))/2, ((4344/49)^(1/2)+58/7)/2 }