Will the HD 5750 1GB work in this computer?

First things first, IF YOU DON'T ACTUALLY KNOW STAY AWAY. I KNOW HOW TO GOOGLE. I'M ASKING THOSE WHO HAVE ACTUALLY TRIED OR HAVE FOUND ARTICLES (NOT SPEC SHEETS) ON IT.

The HD 5750 is the upper end 27" GPU from Mid 2010. Can it fit and run in a 21.5"?

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