how to solve Client does not support authentication protocol requested by server; consider upgrading MySQL client code example

Example 1: 'Client does not support authentication protocol requested by server; consider upgrading MySQL client', sqlState: '08004',

$ mysql -u root -p
Enter password: (enter your root password)

mysql> ALTER USER 'root'@'localhost' IDENTIFIED WITH mysql_native_password BY 'your_new_password';
mysql> FLUSH PRIVILEGES;
mysql> quit

Example 2: Client does not support authentication protocol requested by server; consider upgrading MySQL client

$ mysql -u root -p
Enter password: (enter your password)

mysql> ALTER USER 'root' IDENTIFIED WITH mysql_native_password BY 'PASSWORD';
mysql> FLUSH PRIVILEGES;
mysql> quit