4/X=X/3

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Solution for 4/X=X/3 equation: 


D( X )

X = 0

X = 0

X = 0

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

4/X = X/3 // - X/3

4/X-(X/3) = 0

4*X^-1-1/3*X^1 = 0

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

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

X^1

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

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

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

DELTA = 16/3

DELTA > 0

X = ((16/3)^(1/2)+0)/(2*(-1/3)) or X = (0-(16/3)^(1/2))/(2*(-1/3))

X = -3/2*(16/3)^(1/2) or X = 3/2*(16/3)^(1/2)

X in { -3/2*(16/3)^(1/2), 3/2*(16/3)^(1/2)} 

X in { -3/2*(16/3)^(1/2), 3/2*(16/3)^(1/2) }

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