Gently mix the salt into the ground beef or, alternately, shape the patties and sprinkle each patty with salt.
Shape patties 4-4 ½ inches across and about ¾ inch thick. Set aside.
Heat a 10-12 inch heavy skillet over medium high heat. Add the butter and oil and let the butter melt and the oil heat just until the butter is melted.
Add the patties and let them sit undisturbed for 4 to 5 minutes. Reduce heat to medium as needed.
Check to see if your patties have formed agolden brown crust on the bottom. If not, leave them there another 2 minutes.
Flip, cooking your hamburger patties to your desired internal temperature.
To add cheese, lay the cheese on during the last minute or two of cooking and cover with a lid to melt. Serve warm on or off buns with your favorite toppings.