Preheat the oven to 350°F (175°C). Line a 13×9‑inch baking pan with a piece of foil long enough to extend over the short ends, and lightly grease the foil and the pan.
Optional: If you prefer toasted pecans, spread the 1 cup chopped pecans in a dry skillet over medium heat and toast, stirring, until fragrant (about 3–5 minutes). Let cool.
In a large microwave‑safe bowl, break the 4 ounces unsweetened chocolate into pieces and add the 3/4 cup (1 and 1/2 sticks) unsalted butter.
Microwave the chocolate and butter mixture for 1 minute. Remove and stir. Continue microwaving in 15‑second increments, stirring after each, until the chocolate and butter are fully melted and the mixture is smooth (usually about 1½ minutes total). The bowl and mixture will be hot—use oven mitts if needed.
Stir in the 1 3/4 cups sugar until combined.
Add the 3 eggs one at a time, stirring until each is incorporated. Stir in the 1 teaspoon vanilla.
Add the 1 cup flour and stir until just combined. Fold in the 1 cup chopped pecans.
Spread the batter evenly into the prepared 13×9 pan.
Bake for 30–35 minutes, until a toothpick inserted into the center comes out with moist crumbs (not wet batter). Start checking at 30 minutes.
Remove from the oven and let the brownies cool in the pan on a rack until set. Use the foil "handles" to lift the brownies from the pan and let cool completely before cutting.
Cut into squares and store in an airtight container at room temperature.