Question
JAI BESOIN DE PLUS DEXPLICATION POUR EXPLIQUE A MA FILLE LES EQUATIONS SUIVANTES (1+3i)Z+2-4i =0 et zau carre +2Z +5 =0 merci dun maximun dexplication
cordialement
cordialement
Asked by: USER8494
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170 Answers
Answer (170)
(1+3i)z+2-4i=0
z=(-2+4i)/(1+3i)
z=((-2+4i)(1-3i))/((1+3i)(1-3i))
z=(10+10i)/(1²+3²)
z=1+i
z²+2z+5=0
z²+2z+1+4=0
(z+1)²=-4
(z+1)²=(2i)²
z+1=2i ou z+1=-2i
z=-1+2i ou z=-1-2i
z=(-2+4i)/(1+3i)
z=((-2+4i)(1-3i))/((1+3i)(1-3i))
z=(10+10i)/(1²+3²)
z=1+i
z²+2z+5=0
z²+2z+1+4=0
(z+1)²=-4
(z+1)²=(2i)²
z+1=2i ou z+1=-2i
z=-1+2i ou z=-1-2i