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ClgPerdu
@ClgPerdu
January 2021
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Bonjour, pourriez-vous me donner la réponse de cet exercice svp ?
Merci
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scoladan
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Bonjour,
z = (3-i)/(1+i)
on multiplie numérateur et dénominateur par la partie conjuguée :
z = (3-i)(1-i) / (1+i)(1-i)
z= (3 -3i -i +1) / 2
z= (4 - 4i) / 2 = 2 - 2i
Même technique pour les suivants
z = (1+2i)(2-i) / (2+i)(2-i) = 1/5 (2 -i + 4i -2) = 3/5 i
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Bonsoir, j'ai bcp de mal avec cet exercice, qui pourrait m'aider ? Merci
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Verified answer
Bonjour,z = (3-i)/(1+i)
on multiplie numérateur et dénominateur par la partie conjuguée :
z = (3-i)(1-i) / (1+i)(1-i)
z= (3 -3i -i +1) / 2
z= (4 - 4i) / 2 = 2 - 2i
Même technique pour les suivants
z = (1+2i)(2-i) / (2+i)(2-i) = 1/5 (2 -i + 4i -2) = 3/5 i