Ivan Shishkin, Rye (1878)

Problems/Real analysisExerciseUnreviewed

Une équation sur la partie entière 22

by Sequoia·
28
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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  1. Déterminer l’ensemble des réels xx tels que
    ⌊x2+2x+1⌋=0.\lfloor x^2+2x+1\rfloor=0.
  2. Déterminer l’ensemble des réels yy tels que
    ⌊y2⌋+2⌊y⌋+⌊1⌋=0.\lfloor y^2\rfloor + 2\lfloor y\rfloor +\lfloor 1\rfloor=0.3) Comparer les deux ensembles obtenus. Sont-ce les mêmes ?
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