I understand that you are looking to know if you can install GEFORCE GTX 1050 on your computer.
Don't worry, I will be glad to provide my suggestion.
Have you checked the specifications of your computer and the graphics card selected?
Please click here for the specifications of your computer.
For the GEFORCE GTX 1050 specifications, please click here.
The PCI express slot on your computer is 1 PCI Express x16 (Gen2.0) and the PCI slot required for your the graphics card is PCIe 3.0
You can install it on your computer, however, there will a lag in performance as the graphics card as the card you have selected will work at the speed of PCI Express x16 (Gen2.0).
Hope this helped.
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Disclaimer: HP Doesn't recommend any upgrade/downgrade of any hardware parts or software that is bundled with the product. It may affect the manufacturer's warranty and performance. You can change the configuration at your own risk.