A baseball player swings at a pitch.

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A baseball player hits a baseball that lands xx feet away from home plate, where xx is the larger of the two roots of −2x2+1040x−38400=0.-2x^{2}+1040x-38400=0. If a standard baseball field is 400400 feet from home plate to the center field wall and 450450 feet from home plate to the edge of the stadium, is this player's hit a home run? Does it exit the stadium? Use the quadratic formula to solve.

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