Support Bad battery???

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http://androidforums.com – So I ended up getting a mytouch 4g from a friend that i work with. He told me the battery is bad and that's the only thing wrong with it. I told him let me play with the phone for a couple days and if it is only the battery I will buy it. So here is what I observed tonight. Got the phone and it is in a overall 8/10 condition wise. Normal wear and tear on it but never been dropped screen is mint. I got the phone it said it was 9% charged, put my sim card in it and started downloading apps. The 4g worked great I downloaded 3 apps then it just shut off. I took the back plate off and took the ba (General)