1500/x=600-20x

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Solution for 1500/x=600-20x equation:


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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