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AkaNeko060
@AkaNeko060
November 2021
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Найти разность и частное комплексных чисел
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DedushkaBake
(5-3i)-(-4+7i)=5-3i+4-7i=9-10i
(5-3i)/(7i-4)=умножим числитель и знаменатель на знаменатель
=(5-3i)(7i-4)/(7i-4)(7i+4)=(35i-20-21i²+12i)/(49i²-16)=(47i+1)/(-49-16)=
=(47i+1)/(-65)=-(47/65)i+-1/65
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Answers & Comments
(5-3i)/(7i-4)=умножим числитель и знаменатель на знаменатель
=(5-3i)(7i-4)/(7i-4)(7i+4)=(35i-20-21i²+12i)/(49i²-16)=(47i+1)/(-49-16)=
=(47i+1)/(-65)=-(47/65)i+-1/65