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D( p )
p = 0
p = 0
p = 0
p in (-oo:0) U (0:+oo)
1500/p = 600-(20*p) // - 600-(20*p)
20*p+1500/p-600 = 0
20*p^1+1500*p^-1-600*p^0 = 0
(20*p^2-600*p^1+1500*p^0)/(p^1) = 0 // * p^2
p^1*(20*p^2-600*p^1+1500*p^0) = 0
p^1
20*p^2-600*p+1500 = 0
20*p^2-600*p+1500 = 0
DELTA = (-600)^2-(4*20*1500)
DELTA = 240000
DELTA > 0
p = (240000^(1/2)+600)/(2*20) or p = (600-240000^(1/2))/(2*20)
p = (200*6^(1/2)+600)/40 or p = (600-200*6^(1/2))/40
p in { (600-200*6^(1/2))/40, (200*6^(1/2)+600)/40}
p in { (600-200*6^(1/2))/40, (200*6^(1/2)+600)/40 }
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