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Beliebt Algebra >

vereinfachen ((1+i))/i-4/(6-i)

Lösung

vereinfachen

\frac{( 1 + i )}{i} - \frac{4}{6 - i}

Lösung

\frac{13}{37} - \frac{41}{37} i

Schritte zur Lösung

\frac{1 + i}{i} - \frac{4}{6 - i}

\frac{1 + i}{i} = - i + 1

\frac{4}{6 - i} = \frac{24 + 4 i}{37}

= - i + 1 - \frac{24 + 4 i}{37}

Füge zusammen:

- i + 1 - \frac{24 + 4 i}{37} : \frac{- 41 i + 13}{37}

= \frac{- 41 i + 13}{37}

Rewrite in standard complex form:

\frac{13}{37} - \frac{41}{37} i

= \frac{13}{37} - \frac{41}{37} i

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