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+13/4*n^0 = 0

(1*n^2+13/4*n^1-9*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2+13/4*n^1-9*n^0) = 0

n^1

n^2+(13/4)*n-9 = 0

n^2+(13/4)*n-9 = 0

DELTA = (13/4)^2-(-9*1*4)

DELTA = 745/16

DELTA > 0

n = ((745/16)^(1/2)-(13/4))/(1*2) or n = (-(13/4)-(745/16)^(1/2))/(1*2)

n = ((745/16)^(1/2)-13/4)/2 or n = (-((745/16)^(1/2)+13/4))/2

n in { (-((745/16)^(1/2)+13/4))/2, ((745/16)^(1/2)-13/4)/2} 

n in { (-((745/16)^(1/2)+13/4))/2, ((745/16)^(1/2)-13/4)/2 }