200/x=50x

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Solution for 200/x=50x equation: 


D( x )

x = 0

x = 0

x = 0

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

200/x = 50*x // - 50*x

200/x-(50*x) = 0

200/x-50*x = 0

200*x^-1-50*x^1 = 0

(200*x^0-50*x^2)/(x^1) = 0 // * x^2

x^1*(200*x^0-50*x^2) = 0

x^1

200-50*x^2 = 0

200-50*x^2 = 0

DELTA = 0^2-(-50*4*200)

DELTA = 40000

DELTA > 0

x = (40000^(1/2)+0)/(-50*2) or x = (0-40000^(1/2))/(-50*2)

x = -2 or x = 2

x in { -2, 2} 

x in { -2, 2 }

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