I need to update my magento platform from 22.214.171.124 to 126.96.36.199. I know that is possible to do it with Magento connect but I see that it isn't safety.
Are there any other ways to update Magento securely?
If you haven't edited any core files you should be good. The alternative to Magento Connect is download the files and overwriting them in your root directory.
I used Softaculous in Cpanel with no problems