(3/x)=(x/3)

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Solution for (3/x)=(x/3) equation: 


D( x )

x = 0

x = 0

x = 0

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

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

3/x-(x/3) = 0

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

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

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

x^1

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

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

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

DELTA = 4

DELTA > 0

x = (4^(1/2)+0)/(2*(-1/3)) or x = (0-4^(1/2))/(2*(-1/3))

x = -3 or x = 3

x in { -3, 3} 

x in { -3, 3 }

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