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prettypushkova
@prettypushkova
October 2021
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КОМПЛЕКСНЫЕ ЧИСЛА.
Упростите выражение:
(2 + i) / (i^21 - 2i^25)
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Dимасuk
Verified answer
Сначала упростим знаменатель
i²¹ - 2i²⁵ = i²⁰·i - 2i²⁴·i = i - 2i = -i
Теперь делим, но умно (умножаем на число, сопряжённое знаменателю):
(2 + i)/(-i) = i(2 + i)/(-i²) = i(2 + i)/1 = 2i + i² = -1 + 2i
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Answers & Comments
Verified answer
Сначала упростим знаменательi²¹ - 2i²⁵ = i²⁰·i - 2i²⁴·i = i - 2i = -i
Теперь делим, но умно (умножаем на число, сопряжённое знаменателю):
(2 + i)/(-i) = i(2 + i)/(-i²) = i(2 + i)/1 = 2i + i² = -1 + 2i