Wi-Fi on new iPhone 5 doesn't work at home?

Well I got my iPhone 5 like 3days ago and I've realised when I tried to connect to my Wi-Fi at home it doesn't work it always say unable to connect but when I'm at a friends or my mums work I can connect to their Wi-Fi and it works? And its really annoying. Confused, help please!

Thats very confusing, as i've given other people advice on this the router that you are using may use case-sensitive code take a look and make sure your iphone can support the settings of the router

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