Repeat Problem, replacing the coordinates of B with B(6, 9) and the coordinates of C with C(9, 0).
Problem
A satellite TV station is to be located at P(x, y) so that the sum of the squares of the distances from P to the three towns A, B, and C is a minimum (see the figure). Find the coordinates of P, the location that will minimize the cost of providing satellite TV for all three towns.