9p=18-6/p

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


D( p )

p = 0

p = 0

p = 0

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

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

9*p+6/p-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-(4*6*9)

DELTA = 108

DELTA > 0

p = (108^(1/2)+18)/(2*9) or p = (18-108^(1/2))/(2*9)

p = (6*3^(1/2)+18)/18 or p = (18-6*3^(1/2))/18

p in { (18-6*3^(1/2))/18, (6*3^(1/2)+18)/18} 

p in { (18-6*3^(1/2))/18, (6*3^(1/2)+18)/18 }

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