A space probe in the shape of the ellipsoid x" + y" + 4z" =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) =2x" + 4yz -16z + 597. Find the hottest point on the probe's surface. The hottest point is ( D (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.)