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Determinati Z ∈ C, daca Z+3i = 6×Z(conjugat)

Răspuns :

z=a+bi
a+bi+3i=6(a-bi)
a+(b+3)i=6a-6bi

a=6a ⇒a=0
b+3=-6b ⇒7b=-3⇒b=-3/7
z=-3i/7