Broncobobby :
hang-the-9 :
Depends on the brand and model of power supply. Normal quality it will run, something cheap, it may not.
I have a DELL - 475 WATT POWER SUPPLY FOR XPS 435T/9000 (F217J)
It should run it, but that power supply only has a single 6 pin connector, you would need to use an adapter for the other connections. There should be one in the video card box, many cards come with them.
If it is not stable, that case will fit a better power supply also.