9p=18+6/p

Solution for 9p=18+6/p equation:

D( p )

p = 0

p = 0

p = 0

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

9*p = 6/p+18 // - 6/p+18

9*p-(6/p)-18 = 0

9*p-6*p^-1-18 = 0

9*p^1-6*p^-1-18*p^0 = 0

(9*p^2-18*p^1-6*p^0)/(p^1) = 0 // * p^2

p^1*(9*p^2-18*p^1-6*p^0) = 0

p^1

9*p^2-18*p-6 = 0

9*p^2-18*p-6 = 0

DELTA = (-18)^2-(-6*4*9)

DELTA = 540

DELTA > 0

p = (540^(1/2)+18)/(2*9) or p = (18-540^(1/2))/(2*9)

p = (6*15^(1/2)+18)/18 or p = (18-6*15^(1/2))/18

p in { (18-6*15^(1/2))/18, (6*15^(1/2)+18)/18} 

p in { (18-6*15^(1/2))/18, (6*15^(1/2)+18)/18 }