Toán 12 Số phức

R

riely_marion19

chào bạn!
phương trình tương đương:
[TEX](z-i)[z^2+(1-i)z+2]=0[/TEX]
[TEX]\Leftrightarrow z=i, z^2+(1-i)z+2=0 (1)[/TEX]
(1) có [TEX]\Delta=(\sqrt{-4+\sqrt{17}}-\frac{1}{\sqrt{-4+\sqrt{17}}}i)^2[/TEX]
[TEX](1) \Leftrightarrow \left [z=\frac{1}{2}[(\sqrt{-4+\sqrt{17}}-1)+(1-\frac{1}{\sqrt{-4+\sqrt{17}}})i] \\ z=\frac{1}{2}[(-\sqrt{-4+\sqrt{17}}-1)+(1+\frac{1}{\sqrt{-4+\sqrt{17}}})i][/TEX]
 
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