|Have you, or is it possible someone else who had access to this computer...|
- dropped it, or dropped anything on it, or otherwise exposed it to a physical jolt ?
- spilled liquid on it, or sprayed it with liquid, or exposed it to liquid such as rain ?
Since the computer last worked properly all the time, has there been a power failure event that happened while the AC adapter was plugged in ?
Those things are the most frequent reasons something inside the laptop has been damaged.
"....the screen for the update came up,i did not look for it and i clicked on it..."
Bios updates are NEVER offered that way.
To install a bios update, you have to deliberately go to the HP web site, look up the available software downloads for your model, choose a bios update, download it, and install it.
What you probably saw was Windows' Automatic Update suggesting you should install a Windows update.
"Right before this happened i had just finished reading an email."
Was the email from someone you know, and/or was there anything suspicious about it, e.g. an oddball file name was attached to it, or the text was not something you would expect someone you know would be likely to say ?
If it wasn't from someone you know, and/or if there was anything suspicious about it, you MAY have infected Windows with malware when you clicked on it or tried to read it's attachment.
If your AC adapter was not plugged in while booting, or if it was but there was something wrong with it's connection to the laptop or the AC adapter was not plugged into AC, your symptoms could be caused by the battery not having enough of a charge to run the computer.
Laptop no video (or video problems), and battery, AC adapter, power jack T shooting.
See response 1: