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Deˊterminer i2022\Large\text{Déterminer }i^{2022}
1\Large1
−1\Large-1
i\Large i
−i\Large -i
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Calculer (7−i)(4+2i)\large\text{Calculer }(\sqrt{7}-i)(4+\sqrt{2}i)
2+47+i(14−4)\sqrt{2}+4\sqrt{7}+i(\sqrt{14}-4)
2−47+i(9−4)\sqrt{2}-4\sqrt{7}+i(\sqrt{9}-4)
2+47−i(9−4)\sqrt{2}+4\sqrt{7}-i(\sqrt{9}-4)
2+47+i(9+4)\sqrt{2}+4\sqrt{7}+i(\sqrt{9}+4)
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Reˊsoudre(1−2x)+i(4−2y)=2−3id’inconnues x,y∈R\large\text{Résoudre}\\ (1-2x)+i(4-2y)=2-3i\\\text{d'inconnues }x,y\in\mathbb{R} :
S={(4,2)}\large\text{S}=\{(4,2)\}
S={(−4,2)}\large\text{S}=\{(-4,2)\}
S={(−12,72)}\large\text{S}=\{(-\frac{1}{2},\frac{7}{2})\}
S={(12,72)}\large\text{S}=\{(\frac{1}{2},\frac{7}{2})\}
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On pose j=−1+i32. Deˊterminer j+j2.\Large\text{On pose }\\ j=\frac{-1+i\sqrt{3}}{2}.\\ \ \\\text{Déterminer }j+j^2.
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Reˊsoudre z1+2i+3i=3+4id’inconnue z∈C\large\text{Résoudre }\\\Large\frac{z}{1+2i}\large+3i=3+4i\\\text{d'inconnue }z\in\mathbb{C}.
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Soit z∈C.Quelle est la particulariteˊde z−zˉz+zˉ ?\large\text{Soit }z\in\mathbb{C}.\\\text{Quelle est la particularité}\\\text{de }\Large\frac{z-\bar{z}}{z+\bar{z}}\large\text{ ?}
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Eˊcrire sous formealgeˊbriquez=23−4i.\large\text{Écrire sous forme}\\\text{algébrique}\\ z=\Large\frac{2}{3-4i}.
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Reˊsoudre dans C,z2+2=0.\large\text{Résoudre dans }\mathbb{C},\\ z^2+2=0.
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Reˊsoudre dans C,2z2−4z+4=0\large\text{Résoudre dans }\mathbb{C},\\ 2z^2-4z+4=0
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Deˊterminer : (53)\Large\text{Déterminer : }\quad\LARGE\binom{5}{3}.
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Deˊvelopper (1+i)4\Large\text{Développer }(1+i)^4.
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