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https://texercises.com/exercise/komplexe-zahlen-4/
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Exercise:
Die folgen Aufgaben sind voneinander unabhängig. abcliste abc Löse x^ + -imagx + -imag in mathbbC. abc Löse rez + imag z - olz in mathbbC. abc Stelle lnimag in kartesischer Form dar. abcliste

Solution:
abcliste abc x^ + -imagx + -imag a b-imag c-imag D b^ - ac - imag - + imag - imag^ quad pkt medskip x_ dfrac-b + sqrtDa dfrac- + imag + imag - + imag quad pkt. quad pkt. medskip x_ dfrac-b - sqrtDa dfrac- + imag - imag - + imag quad pkt. quad pkt. abc rez + imag z - olz in mathbbC Ansatz; z x + imag y quad pkt. edt x + imagx + imag y - x - imag y quad pkt x + ximag - y - x + yimag quad pkt -x - y + x + y imag + imag quad pkt -x - y quad pkt. x + y quad pkt. y quad pkt. x - quad pkt. quad Rightarrow quad z- + imag quad quad pkt. ed abc lnimag lnbigeul^imag fracpibig fracpi imag quad pkt abcliste
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\(\LaTeX\)-Code
Exercise:
Die folgen Aufgaben sind voneinander unabhängig. abcliste abc Löse x^ + -imagx + -imag in mathbbC. abc Löse rez + imag z - olz in mathbbC. abc Stelle lnimag in kartesischer Form dar. abcliste

Solution:
abcliste abc x^ + -imagx + -imag a b-imag c-imag D b^ - ac - imag - + imag - imag^ quad pkt medskip x_ dfrac-b + sqrtDa dfrac- + imag + imag - + imag quad pkt. quad pkt. medskip x_ dfrac-b - sqrtDa dfrac- + imag - imag - + imag quad pkt. quad pkt. abc rez + imag z - olz in mathbbC Ansatz; z x + imag y quad pkt. edt x + imagx + imag y - x - imag y quad pkt x + ximag - y - x + yimag quad pkt -x - y + x + y imag + imag quad pkt -x - y quad pkt. x + y quad pkt. y quad pkt. x - quad pkt. quad Rightarrow quad z- + imag quad quad pkt. ed abc lnimag lnbigeul^imag fracpibig fracpi imag quad pkt abcliste
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Attributes & Decorations
Tags
komplex, komplexe zahlen, mathematik, pam
Content image
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link