Ivan Shishkin, Rye (1878)

Problems/Complex analysisExercise

Quelques exemples de conjugués complexes

by Ancient Tree·
15
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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.

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Déterminer le conjugué des nombres complexes suivants :
z1=1+2i,z2=−7−5i,z3=4i.z_{1}=1+2i,\quad z_{2}=-7-5i,\quad z_{3}=4i.

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Solution by Ancient Tree

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z1‾=1+2i‾=1−2i\overline{z_{1}}=\overline{1+2i}=1-2i.

z2‾=−7−5i‾=−7+5i\overline{z_{2}}=\overline{-7-5i}=-7+5i.

z3‾=4i‾=−4i\overline{z_{3}}=\overline{4i}=-4i.

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