8/12/2019 Comment trouver une criture algbrique d'un nombre complexe ?

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Ngf`oEmhdrosFmhpaoxos

Ht`mjosotIeeiaos

`ttp2//oxm

s4hit`.nroo.nr/

Vivmgr jmeeor ueo frgturo iakdrgquo jo z.

Tippoa jo fmurs

Jegtgmes

Afrgturo iakdrgquo jue emhdro fmhpaoxo ost z 8 i + gd, m i ot d smet jos emhdros roas quoafmequos ot g ue

emhdro fmhpaoxo toa quo g

4

8 9.Ao hmjuao ju emhdro fmhpaoxo ost ao emhdro roa pmsgtgn 2 8 |z| 8 |i+gd| 8 i4 +d4. _e irkuhoet ju emhdro fmhpaoxo (eme eua) ost ao emhdro roa 2 8 irk (z) S4Xtoa quo 2 fms 8 i

otsge 8

d

.

Afrgturo trgkmemhtrgquo ju emhdro fmhpaoxo ost z8 (fms +g sge ).Afrgturo oxpmeoetgoaao ju emhdro fmhpaoxo ost z 8 og.

Ht`mjo

Vgz ost jmee smus si nmrho oxpmeoetgoaao, ga niut tmut jidmrj ao rfrgro smus si nmrho trgkmemhtrgquo. pirtgr joa, me pout gjoetgor aos torhos i8 fms ot d 8 sge , ot frgro sies smufgs z smus si nmrho iakdrgquo z 8 i +gd.

Tohirquo 2 \mur russgr fiafuaor aos viaoursfms ot sge vmus jovoz fmeeitro idsmauhoet aos viaours

rohirquidaos ju forfao trgkmemhtrgquo.

Oxorfgfo 9(\mejgf`ry 4 8 :

fms

> +g sge

>

8 :

64

+g9

4

8 4

6 + 4g.

z68 46og(9)

6

> 8 0og

> 8 0

fms

>

+g sge

>

8 0

fms

> g sge

>

8 0

6

4 g 9

4

8 :

6 :g.