vereinfachen-(75(-1)^{1/4}(74+69i))/(7754-5497i)

Lösung

vereinfachen

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i )}{7754 - 5497 i}

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

Schritte zur Lösung

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i )}{7754 - 5497 i}

Multipliziere mit dem Konjugat

\frac{7754 + 5497 i}{7754 + 5497 i}

= - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i ) ( 7754 + 5497 i )}{( 7754 - 5497 i ) ( 7754 + 5497 i )}

Vereinfache

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i ) ( 7754 + 5497 i )}{( 7754 - 5497 i ) ( 7754 + 5497 i )} : - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

= - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

e x p an d 20 i + 15 (cos (60 i) + sin (60 j))

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