I have two 1080p monitors, one 240hz and one 60hz.
Asus VG279QM, and Dell S2721HN, though I don't think the model of the monitors really matters since I swapped out the secondary and the issue persisted.
Basically if I try to boot my pc with both monitors plugged in neither one will get signal, I have to boot with just a single monitor, either one, and then plug the other in later if I want both to work. Only my main has display port, and the secondary is on hdmi, I don't have a second monitor with a display port to test if that would work, but I have to assume 1 dp and 1 hdmi is a very common setup.