You can buy ready-made dried or fresh tagliatelle, but this is a really quick way to make your own.
Crack the eggs into a food processor and add the flour. Whiz it up and listen for the sound changing to a rumble - this means the dough is coming together nicely. Turn the power off and test the consistency by pinching the dough. If it's a bit sticky add a little more flour and pulse again.
Tip the dough mixture onto a floured surface and shape it into a ball using your hands. Give it a little knead until smooth, then divide your dough into 4 equal parts. Start on the thickest setting of your pasta machine and run the first bit of dough through 4 or 5 times, moving the rollers closer together each time until the pasta is silky, smooth and about as thick as a CD. Flour your finished sheet generously, then fold it up and cut across into 1/2-inch strips. Gather all the slices together and toss them through your fingers, with a little flour, to open them up and make your pile of tagliatelle. Place to 1 side and repeat with the rest of the dough.
Bring a large pan of salted water to the boil. In a bowl large enough to rest on top of the pan, put your creme fraiche, fontina or other melting cheese and your Parmesan with a pinch of salt and pepper. Place the bowl over the pan for the cheeses to slowly melt. It won't take long. Meanwhile, trim any dry ends off the broccoli, then finely slice the stalks diagonally and leave the florets whole (cutting any larger ones in half).
At this point the cheese sauce should be lovely and oozy, so remove the bowl from above the pan and drop the pasta and broccoli into the boiling water. Boil hard for 2 to 3 minutes, until the pasta is just cooked through. Whip up the 2 egg yolks and the marjoram, or other chosen herb leaves, into the sauce. Drain the pasta and broccoli, reserving a little of the cooking water, and quickly toss them with the sauce - the heat from the pasta will be enough to cook the eggs through. If the sauce is a little thick, add a few splashes of cooking water to make it silky and loose. Taste and season, if necessary. Serve as quickly as you can, with some extra Parmesan sprinkled over the top and a drizzle of extra-virgin olive oil. Grand!
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Recipe Excerpted from JAMIE AT HOME by Jamie Oliver. Copyright (c) 2008. Published in the U.S. by Hyperion. All Rights Reserved. Available wherever books are sold. www.jamieoliver.com