If \( y=3 t-t^{3}, x=3 t^{2} \) satisfies \( A y_{2}(y-\sqrt{3 x})=...

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If \( y=3 t-t^{3}, x=3 t^{2} \) satisfies \( A y_{2}(y-\sqrt{3 x})= \) \( x+3 \) then \( \frac{1}{12} A \) is equal to.
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