8/3p-9-5/p-3=4

Solution for 8/3p-9-5/p-3=4 equation:

D( p )

p = 0

p = 0

p = 0

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

(8/3)*p-(5/p)-9-3 = 4 // - 4

(8/3)*p-(5/p)-9-4-3 = 0

(8/3)*p-5*p^-1-9-4-3 = 0

8/3*p^1-5*p^-1-16*p^0 = 0

(8/3*p^2-16*p^1-5*p^0)/(p^1) = 0 // * p^2

p^1*(8/3*p^2-16*p^1-5*p^0) = 0

p^1

(8/3)*p^2-16*p-5 = 0

(8/3)*p^2-16*p-5 = 0

DELTA = (-16)^2-(-5*4*(8/3))

DELTA = 928/3

DELTA > 0

p = ((928/3)^(1/2)+16)/(2*(8/3)) or p = (16-(928/3)^(1/2))/(2*(8/3))

p = 3/16*((928/3)^(1/2)+16) or p = 3/16*(16-(928/3)^(1/2))

p in { 3/16*(16-(928/3)^(1/2)), 3/16*((928/3)^(1/2)+16)} 

p in { 3/16*(16-(928/3)^(1/2)), 3/16*((928/3)^(1/2)+16) }