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Консультация № 202971
04.06.2022, 00:33
0.00 руб.
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Даны комплексные числа z1=-квадратный корень(3)-5i; z2=2+квадратный корень(3i)
а) Вычислить z=z1/z2;
б) Найти модуль и аргумент числа z ;
в) Записать число z в тригонометрической и показательной формах;
г) Используя формулу Муавра, представить в алгебраической форме число z^3;
д) Найтивсе значения кубического корня(z) и построить их на комплексной плоскости;
Даны комплексные числа z1=-квадратный корень(3)-5i; z2=2+квадратный корень(3i)
а) Вычислить z=z1/z2;
б) Найти модуль и аргумент числа z ;
в) Записать число z в тригонометрической и показательной формах;
г) Используя формулу Муавра, представить в алгебраической форме число z^3;
д) Найтивсе значения кубического корня(z) и построить их на комплексной плоскости;
Обсуждение
04.06.2022, 18:28
общий
это ответ
Здравствуйте, kotb9!
Пусть
Тогда
-- модуль числа
-- аргумент числа
-- показательная форма числа
-- тригонометрическая форма числа
Согласно формуле Муавра,
Вычислим значения
Этим я ограничусь в своём стремлении "помочь". Изображение полученных корней на комплексной плоскости останется за Вами. Выполнить оставшуюся часть работы для Вас должно быть делом чести, чтобы не оказаться совсем неучем.
Пусть
Тогда-- модуль числа
-- аргумент числа
-- показательная форма числа
-- тригонометрическая форма числа
Согласно формуле Муавра,
Вычислим значения
Этим я ограничусь в своём стремлении "помочь". Изображение полученных корней на комплексной плоскости останется за Вами. Выполнить оставшуюся часть работы для Вас должно быть делом чести, чтобы не оказаться совсем неучем.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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