The line \(y - x \sqrt{3} + 3 = 0\) intersects the parabola \(2y^2 = 2x + 3 \) at points \(A\) and \(B \) Let \(P = (\sqrt{3},0).\) Find \(|AP - BP|. \)
The line intersects the parabola at points A and B.
+143 
