It's too easy and nostalgic

Geometry Level pending

\(y^2=x+2\) is cut by \(y=\sqrt3x-3\) line in points \(p\) and \(q\). If the line cuts the \(x\)-axis at coordiate \(A \) then find the magnitude of the product of length of segments \(Ap\) and \(Aq\).

Give ur answer to 3 decimals.

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