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Dewar
@Dewar
January 2021
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Bonsoir ! J'ai un exercice sur la forme exponentielle du nombre complexe à faire pour demain et je galère. Merci d'avance pour votre aide !
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ProfdeMaths1
Verified answer
1) (1+i)^6=(√2.exp(i.π/4))^6=8.exp(i.3π/2)=
-8i
2) z²=(1+i)^6 donc z²=-8i donc z=(1+i)³ est solution
soit encore z=1+3i+3i²+i³=
-2+2i
est solution de (E)
donc l'autre solution est son conjugué z=
-2-2i
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Verified answer
1) (1+i)^6=(√2.exp(i.π/4))^6=8.exp(i.3π/2)=-8i2) z²=(1+i)^6 donc z²=-8i donc z=(1+i)³ est solution
soit encore z=1+3i+3i²+i³=-2+2i est solution de (E)
donc l'autre solution est son conjugué z=-2-2i