Add the ground beef, eggs, crushed potato chips, dry mustard, garlic powder, Worcestershire sauce, salt, and pepper to a mixing bowl.
Mix with your hands until the ingredients are just combined, then shape into 4 even patties.
Heat the butter and olive oil in a 12-inch skillet over medium-high heat.
Cook the patties for about 5 minutes per side, until browned and cooked through.
Transfer the patties to a plate and pour off excess fat from the skillet.