9/5=p-5/p+8

Solution for 9/5=p-5/p+8 equation:

D( p )

p = 0

p = 0

p = 0

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

9/5 = p-(5/p)+8 // - p-(5/p)+8

5/p-p+9/5-8 = 0

5*p^-1-1*p^1-31/5*p^0 = 0

(5*p^0-1*p^2-31/5*p^1)/(p^1) = 0 // * p^2

p^1*(5*p^0-1*p^2-31/5*p^1) = 0

p^1

(-31/5)*p-p^2+5 = 0

(-31/5)*p-p^2+5 = 0

DELTA = (-31/5)^2-(-1*4*5)

DELTA = 1461/25

DELTA > 0

p = ((1461/25)^(1/2)-(-31/5))/(-1*2) or p = (-(-31/5)-(1461/25)^(1/2))/(-1*2)

p = ((1461/25)^(1/2)+31/5)/(-2) or p = (31/5-(1461/25)^(1/2))/(-2)

p in { ((1461/25)^(1/2)+31/5)/(-2), (31/5-(1461/25)^(1/2))/(-2)} 

p in { ((1461/25)^(1/2)+31/5)/(-2), (31/5-(1461/25)^(1/2))/(-2) }