The information that came with my HD5870 cards said 650W for two cards. With both cards 100 percent and the 6 core CPU 100 percent, I measured the actual power draw at over 500W. I have well made PSU rated at 650W at 50C case temperature.
So, 500W in a real good PSU might just do it -- as an HD5770 uses significantly less power than an HD5870. Normally, one would not want to run a PSU at full rating. However, you might be running at 400 to 450 with two HD5770.
A "second tier" PSU might literally burn if used too close to its rating. Maybe you can find out the PSU recommendation at the AMD site or if you still have the "instructions" that came with the HD5770 card. Also, if you can find your PSU on Newegg (or find the instructions), then maybe you can find what the rated operating temperature is at 500W -- you want 40C or higher.
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