2x=300/x

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Solution for 2x=300/x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x = 300/x // - 300/x

2*x-(300/x) = 0

2*x-300*x^-1 = 0

2*x^1-300*x^-1 = 0

(2*x^2-300*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-300*x^0) = 0

x^1

2*x^2-300 = 0

2*x^2-300 = 0

DELTA = 0^2-(-300*2*4)

DELTA = 2400

DELTA > 0

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

x = 5*6^(1/2) or x = -5*6^(1/2)

x in { -5*6^(1/2), 5*6^(1/2)} 

x in { -5*6^(1/2), 5*6^(1/2) }

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