01 - In a medium bowl, beat the eggs until well blended. Heat a nonstick skillet over medium heat, add eggs, and scramble until just set. Transfer scrambled eggs to a plate.
02 - Lay one tortilla flat on a clean surface. Evenly distribute the scrambled eggs, black beans, and shredded cheddar cheese over the tortilla, leaving a small border around the edges. Place the second tortilla on top to form a sandwich.
03 - Heat olive oil in a large skillet over medium heat. Place the assembled quesadilla in the skillet and cook for 2-3 minutes per side, pressing gently with a spatula, until both sides are golden brown and the cheese is thoroughly melted.
04 - Transfer the quesadilla to a cutting board. Cut into wedges and serve hot with salsa on the side.