No, in a word and the quality you can play at depends on which model of the X51 you choose to purchase. Some models have an Nvidia GT500 graphics card and the top of the range models have the more powerful GT555 with the i5 CPU. This more powerful card and CPU should cope with Battlefield 3 at medium settings OK.
To get close to high settings you need a GPU like the Nvidia GTX560Ti or the Radeon HD 6870 or the newer 7850. The Alienware X51 will not give you better than medium settings, even if you buy the top of the range model. See Battfield 3 requirements here: http://www.game-debate.com/games/index.p... I can only say as others already have that the Alienware X51 is not very good value but if you have your heart set on it then buy the top of the range model with the GT555 graphics for best quality gameplay.
No not even close even the top x51 won't get max it will only get a mix between mid and high the one you link will play low/mid settings not even close to high.
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