Let A = (4, -1), B = (6, 2), and C = (-1, 2). There exists a point X and a constant k such that for any point P, PA^2 + PB^2 + PC^2 = 3PX^2 + k. Find the constant k.
+26367 Let A = (4, -1), B = (6, 2), and C = (-1, 2). There exists a point X and a constant k such that for any point P, \(PA^2 + PB^2 + PC^2 = 3PX^2 + k\). Find the constant \(k\).
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