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A satellite television reception station is to be located at point P so that the sum of the squares of the distances from P to
A satellite television reception station is to be located at point P so that the sum of the squares of the distances from P to the three towns A, B, and C is a minimum. Town A is located at (0,0), town B is located at (2,9), and town C is located at (13,0). Find the coordinates (x,y) of point P, that will minimize the cost of providing satellite television for all three towns
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