Whenever the Hard Disk Short/Long DST test fails that indicates that the Hard Disk Drive has failed and that requires a replacement to resolve the issue
HP will provide a replacement Hard Disk Drive if the Notebook warranty is Active, If not you need buy a SATA Hard Disk Drive from a retail shop nearby
Please Contact HP if your HP Notebook is under warranty, HP would replace the Hard Disk Drive and provide you a Recovery media to restore factory operating system after replacement (if you've not yet created Recovery Discs/USB Media)
Note: Back up all the personal data to an external drive if it's possible. Otherwise you could connect the failed HDD via SATA to USB adapter with another PC or same PC after replacement of HDD & re-installation of OS and try copying /recovering the files. You can also refer to the below shown link for further support
You are going to need to replace the hard drive in notebook with new drive and reinstall the OS either with recovery disks or with a clean install.
Remove the old drive and try connecting to a different computer with a USB hub or internally as secondary drive in desktop. See if the system recognizes the drive (disk manager) and if there is the possibility to recover your personal data.
If the disk is not seen by different computer it is going to be difficult to recover your data. If the data is real important you can send the drive to professional recovery technicians (which is real expensive).
Hope it helps,
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