2/x=x/3

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Solution for 2/x=x/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x = x/3 // - x/3

2/x-(x/3) = 0

2*x^-1-1/3*x^1 = 0

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

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

x^1

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

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

DELTA = 0^2-(2*4*(-1/3))

DELTA = 8/3

DELTA > 0

x = ((8/3)^(1/2)+0)/(2*(-1/3)) or x = (0-(8/3)^(1/2))/(2*(-1/3))

x = -3/2*(8/3)^(1/2) or x = 3/2*(8/3)^(1/2)

x in { -3/2*(8/3)^(1/2), 3/2*(8/3)^(1/2)} 

x in { -3/2*(8/3)^(1/2), 3/2*(8/3)^(1/2) }

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