20000/x=x^1/2

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Solution for 20000/x=x^1/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

20000/x = (x^1)/2 // - (x^1)/2

20000/x-((x^1)/2) = 0

20000/x-(x/2) = 0

20000*x^-1-1/2*x^1 = 0

(20000*x^0-1/2*x^2)/(x^1) = 0 // * x^2

x^1*(20000*x^0-1/2*x^2) = 0

x^1

(-1/2)*x^2+20000 = 0

(-1/2)*x^2+20000 = 0

DELTA = 0^2-(4*20000*(-1/2))

DELTA = 40000

DELTA > 0

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

x = -200 or x = 200

x in { -200, 200} 

x in { -200, 200 }

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