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© Meredith Corporation. All rights reserved. Used with permission.
Preheat oven to 450°F.
Heat 1 tablespoon oil and butter in a large cast-iron skillet over medium-high heat. Add carrots and turnips, sprinkle with 1/4 teaspoon each salt and pepper and cook, stirring occasionally, until starting to brown and soften, 8 to 10 minutes. Transfer to a plate.
Meanwhile, cut steak in half crosswise and sprinkle with rosemary and the remaining 1/2 teaspoon each salt and pepper. Heat the remaining 1 tablespoon oil in the pan over medium-high heat until very hot. Add the steak and cook until starting to brown on each side, about 2 minutes total. Transfer to another plate.
Return the vegetables to the pan and stir in brown sugar. Place the steak on the vegetables. Carefully transfer the pan to the oven.
Roast until the vegetables are tender and the steak is cooked to your desired doneness, 8 to 10 minutes for medium. Remove the steak to a clean cutting board and let rest 5 minutes before slicing. Drizzle vinegar over the vegetables. Serve the steak with the vegetables.