n-9/n-5=7/4

Solution for n-9/n-5=7/4 equation:

D( n )

n = 0

n = 0

n = 0

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

n-(9/n)-5 = 7/4 // - 7/4

n-(9/n)-(7/4)-5 = 0

n-9*n^-1-7/4-5 = 0

1*n^1-9*n^-1-27/4*n^0 = 0

(1*n^2-27/4*n^1-9*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-27/4*n^1-9*n^0) = 0

n^1

n^2+(-27/4)*n-9 = 0

n^2+(-27/4)*n-9 = 0

DELTA = (-27/4)^2-(-9*1*4)

DELTA = 1305/16

DELTA > 0

n = ((1305/16)^(1/2)-(-27/4))/(1*2) or n = (-(-27/4)-(1305/16)^(1/2))/(1*2)

n = ((1305/16)^(1/2)+27/4)/2 or n = (27/4-(1305/16)^(1/2))/2

n in { (27/4-(1305/16)^(1/2))/2, ((1305/16)^(1/2)+27/4)/2} 

n in { (27/4-(1305/16)^(1/2))/2, ((1305/16)^(1/2)+27/4)/2 }