Lets start with you helping us by identifying your notebook completely.
HP has produced and brought to market more than a thousand different models of notebooks and desktop PCs over the years. It is difficult to help you if we don't know which specific model you own..
Method #1: If the notebook will boot into Windows, you can retrieve your Product Number by pressing Fn + Esc key.
Method #2:
Remove the battery and look in the compartment where the battery was installed. You should see a Service tag with printed part number and a product name. Please post the p/n (with all alphanumeric characters) here. If you live outside of North America, it helps us if you post the country of purchase. Also post the installed CPU type. (AMD or Intel)
Don't forget to post the name of the installed operating system if you haven't already done that.
I suggest that you install the battery and then power on the notebook. Immediately tap the Esc key to access the startup menu. In the Startup menu choose F2 for System Diagnostics. In the HP PC Hardware Diagnostics screen that appears, choose component tests and then Battery. Run the battery tests and report the results.
The battery is an item, covered by warranty, that can be replaced with a new one from HP should the diagnostics test report a failure. Write down the code that the test reports to you and post the results here.
Regards,
erico