This indicates that the path to your connections folder is wrong in your results.php page. (It is probable wrong in your search, update, delete etc. pages too!)
Have a look at the first few lines of those pages.
The line will be something like:
<?php require_once('Connections/localhost.php'); ?>
If your pages are in your 'Security_Assist/Admin/' folder, and your 'Connections' folder is in the site root,
then that line should be:
<?php require_once('../../Connections/localhost.php'); ?>