200/x=3x

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Solution for 200/x=3x equation: 


D( x )

x = 0

x = 0

x = 0

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

200/x = 3*x // - 3*x

200/x-(3*x) = 0

200/x-3*x = 0

200*x^-1-3*x^1 = 0

(200*x^0-3*x^2)/(x^1) = 0 // * x^2

x^1*(200*x^0-3*x^2) = 0

x^1

200-3*x^2 = 0

200-3*x^2 = 0

DELTA = 0^2-(-3*4*200)

DELTA = 2400

DELTA > 0

x = (2400^(1/2)+0)/(-3*2) or x = (0-2400^(1/2))/(-3*2)

x = (-10*6^(1/2))/3 or x = (10*6^(1/2))/3

x in { (-10*6^(1/2))/3, (10*6^(1/2))/3} 

x in { (-10*6^(1/2))/3, (10*6^(1/2))/3 }

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