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djnolanI see why not but ask this same question over on Dell's Website.
This card has no Power Connector and you only need 300Watt PSU.
It would be based on your Motherboard and CPU.
http://www.dell.com/support/home/us/en/04/product-support/product/optiplex-790/drivers/advancedCurrent Bios is A18 so make sure you update your Dell to this Bios.
Also your Dell comes only with AMD So knowing this you may have issues.
Chipset Being that they are Intel and not AMD Chipset you may be in luck.