Lucas, o primeiro erro realmente é a falta do mysql-client, como o Fernando citou
Porém, como vc está usando uma versão bem antiga do Ubuntu (os primeiros dois dígitos são o ano de lançamento, nesse caso, 2012) é bem provável que estes repositórios já não existam mais. Aí ocorre o erro do segundo print.
O ideal seria que vc utilizasse uma versão do SO mais atualizada, por segurança e por questões de compatibilidade com novos softwares que vc for utilizar. Mas caso não seja possível, temos algumas alternativas, como utilizar outros repositórios.
- Como root, edite o arquivo /etc/apt/sources.list
- Substitua o conteúdo do arquivo pelo conteúdo abaixo:
# See http://help.ubuntu.com/community/UpgradeNotes for how to upgrade to
# newer versions of the distribution.
deb http://old-releases.ubuntu.com/ubuntu/ precise main restricted
deb-src http://old-releases.ubuntu.com/ubuntu/ precise main restricted
## Major bug fix updates produced after the final release of the
## distribution.
deb http://old-releases.ubuntu.com/ubuntu/ precise-updates main restricted
deb-src http://old-releases.ubuntu.com/ubuntu/ precise-updates main restricted
## N.B. software from this repository is ENTIRELY UNSUPPORTED by the Ubuntu
## team. Also, please note that software in universe WILL NOT receive any
## review or updates from the Ubuntu security team.
deb http://old-releases.ubuntu.com/ubuntu/ precise universe
deb-src http://old-releases.ubuntu.com/ubuntu/ precise universe
deb http://old-releases.ubuntu.com/ubuntu/ precise-updates universe
deb-src http://old-releases.ubuntu.com/ubuntu/ precise-updates universe
## N.B. software from this repository is ENTIRELY UNSUPPORTED by the Ubuntu
## team, and may not be under a free licence. Please satisfy yourself as to
## your rights to use the software. Also, please note that software in
## multiverse WILL NOT receive any review or updates from the Ubuntu
## security team.
deb http://old-releases.ubuntu.com/ubuntu/ precise multiverse
deb-src http://old-releases.ubuntu.com/ubuntu/ precise multiverse
deb http://old-releases.ubuntu.com/ubuntu/ precise-updates multiverse
deb-src http://old-releases.ubuntu.com/ubuntu/ precise-updates multiverse
## N.B. software from this repository may not have been tested as
## extensively as that contained in the main release, although it includes
## newer versions of some applications which may provide useful features.
## Also, please note that software in backports WILL NOT receive any review
## or updates from the Ubuntu security team.
deb http://old-releases.ubuntu.com/ubuntu/ precise-backports main restricted universe multiverse
deb-src http://old-releases.ubuntu.com/ubuntu/ precise-backports main restricted universe multiverse
deb http://old-releases.ubuntu.com/ubuntu precise-security main restricted
deb-src http://old-releases.ubuntu.com/ubuntu precise-security main restricted
deb http://old-releases.ubuntu.com/ubuntu precise-security universe
deb-src http://old-releases.ubuntu.com/ubuntu precise-security universe
deb http://old-releases.ubuntu.com/ubuntu precise-security multiverse
deb-src http://old-releases.ubuntu.com/ubuntu precise-security multiverse
## Uncomment the following two lines to add software from Canonical's
## 'partner' repository.
## This software is not part of Ubuntu, but is offered by Canonical and the
## respective vendors as a service to Ubuntu users.
# deb http://old-releases.ubuntu.com/ubuntu precise partner
# deb-src http://old-releases.ubuntu.com/ubuntu precise partner
## Uncomment the following two lines to add software from Ubuntu's
## 'extras' repository.
## This software is not part of Ubuntu, but is offered by third-party
## developers who want to ship their latest software.
# deb http://old-releases.ubuntu.com/ubuntu precise main
# deb-src http://old-releases.ubuntu.com/ubuntu precise main
- Após salvar o arquivo, execute o comando para atualizar os repositórios:
apt-get update
- Agora sim, tente instalar o cliente do mysql:
apt-get install mysql-client-core-5.5