Bring the beef tenderloin to room temperature. Season both sides generously with salt and pepper.
In a large skillet, heat olive oil over medium-high heat. Sear the tenderloin on both sides for 2-3 minutes, until a golden-brown crust forms.
Add the butter, crushed garlic, thyme sprigs, and rosemary sprig to the pan. Baste the tenderloin with the melted butter in the pan for 1-2 minutes.
Transfer the tenderloin to a preheated oven at 350°F (180°C) for 10-12 minutes for medium-rare. For a more well-done steak, increase the cooking time.
After baking, wrap the meat in aluminum foil and let it rest for 5-7 minutes to allow the juices to redistribute.
Slice the Chateaubriand steak into thick portions and serve with steamed vegetables and fresh bread or mashed potatoes.
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