nombre irrationnel
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Very interesting forum!
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Very interesting forum!
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Very interesting forum!
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Very interesting forum!
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Very interesting forum!
http://honda-accord-.blogspot.com/ http://audi-a4-.blogspot.com/ http://bmw-m5--.blogspot.com/ http://ford-mustang--.blogspot.com/ http://citroen-.blogspot.com/ http://toyota-camry-.blogspot.com/ http://toyota-land-cruiser--.blogspot.com/ http://bmw-x5--.blogspot.com/ http://chrysler-300c--.blogspot.com/ http://ford-truck-.blogspot.com/ http://dodge-challenger--.blogspot.com/ -
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Oops je m'excuse, j'ai juste oublié deux hypothèses, l'une est que on est dans Fp ( p premier) et que x(2)=1...
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Une méthode générale qui marche pour tout irrationnel algébrique T est de trouver un polynôme à coefficients entiers qui annule T. Un tel polynôme admet une racine rationnelle p/q seulement si p divise le coefficient constant et q divise le coefficient dominant. Ce qui fait un nombre fini de candidats.
Par exemple X²-2 n'admet comme racine rationnelle potentielle que 1,2,
-1,-2. Et comme aucune ne marche, $\sqrt 2$ est irrationnel.
Ca peut paraître lourd mais si vous voulez l'irrationnalité de $\sqrt 3+\sqrt[3] 2$ vous apprécierez la méthode. -
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En général, quand il y a des chiffres à taper, ils sont un peu distordus, et sur un fond non uniforme. Je pense que c'est pour que les humains soient capables de les lire, mais que les logiciels n'y arrivent pas. Ceux des maths.net ne sont peut être pas une barrière suffisante.
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Cette discussion a été fermée.
Bonjour!
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