Ivan Shishkin, Rye (1878)

Problems/Complex analysisExercise

Parties réelle et imaginaire de nombres complexes 1

by SalixBabylonica·
15
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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ReviewedReviewed by quark67
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Donner la partie réelle et partie imaginaire des nombres complexes suivants :

  1. z1=iz_1= i
  2. z2=34−5iz_2 = 34-5i
  3. z3=5z_3=5
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Solutions

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Solution by SalixBabylonica

Discussions0 useful votes

On a :

  1. Re⁡(z1)=0\operatorname{Re}(z_{1})=0 et Im⁡(z1)=1\operatorname{Im}(z_1)=1
  2. Re⁡(z2)=34\operatorname{Re}(z_2)= 34 et Im⁡(z2)=−5\operatorname{Im}(z_{2})=-5
  3. Re⁡(z3)=5\operatorname{Re}(z_3) = 5 et Im⁡(z3)=0\operatorname{Im}(z_3) = 0
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