You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interference, you want to place it where the magnetic field of the planet is weakest. The planet is spherical, with a radius of 12 units. Based on a coordinate system whose origin is at the center of the planet, the strength of the magnetic field is given by M(x,y,z) = 12x-y² +xz+240. Where should you locate the radio telescope? The coordinates of the points where the telescope could be placed on the surface of the planet are (x,y,z) = (1, ±1D) . (Simplify your answer. Type exact answers, using radicals as needed.)

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