A space probe in the shape of the ellipsoid 36x² + y² + 4z² =20 enters a planet's atmosphere and its surface begins to heat. After 1 hour, the temperature at the point (x,y,z) on the probe's surface is T(x,y,z)=72x²2+4yz-16z+599. Find the hottest point on the probe's surface. The hottest point is (+00 (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.)

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