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Let PQRS be a square with the vertices P...

Let PQRS be a square with the vertices P, Q lying on the curve `C_1: y=x^2` and R, S lying on the curve `C_2:y =x+ 8`. If the coordinates of P and Q be represented by `(x_1, y_1)` and `(x_2, y_2)`, then algebraic sum of all possible abscissae of P is:

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