If I change the password for the root user is that going to automatically change the password for the user account?
I found this link for root:
How do I change the user account password?
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As a user, you can change your own password in a terminal, using
passwd. You will be asked for the current password and can then enter a new one.
On Ubuntu, there normally is no separate password for root. Instead, users with administrator privileges may use
sudo to run commands as a super user.