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