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Консультация № 193931
18.11.2018, 04:57
0.00 руб.
0
6
1
Здравствуйте! Прошу помощи в следующем вопросе:
Тема.Комплексные числа.Решить уравнение:
z^2+z=2+i
Решала как обычное квадратное уравнение,но корни получились очень странные,которые не возможно выразить
Тема.Комплексные числа.Решить уравнение:
z^2+z=2+i
Решала как обычное квадратное уравнение,но корни получились очень странные,которые не возможно выразить
Обсуждение
18.11.2018, 06:57
общий
Адресаты:
Сообщите, пожалуйста, как Вы решали уравнение. 
Об авторе:
Facta loquuntur.
Facta loquuntur.
18.11.2018, 07:48
общий
D=1+4*(2+I)=9+4i
z(1,2)=-1+-sqrt(9+4i)/2
Так как у нас корень-мы его расписываем на два
z(1,2)=-1+sqrt(97)*e^(arctg(4/9))/2
z(3,4)=-1-sqrt(97)*e^(arctg(4/9)+2pi)/2
И если я правильно думаю,то ответ совсем не красивый,даже не знаю как его причесать
z(1,2)=-1+-sqrt(9+4i)/2
Так как у нас корень-мы его расписываем на два
z(1,2)=-1+sqrt(97)*e^(arctg(4/9))/2
z(3,4)=-1-sqrt(97)*e^(arctg(4/9)+2pi)/2
И если я правильно думаю,то ответ совсем не красивый,даже не знаю как его причесать
18.11.2018, 08:03
общий
Адресаты:
Возможно, в течение сегодняшнего дня я вернусь к этой задаче, если другие эксперты не окажут Вам помощь.
По-моему, для решения задачи можно сначала вычислить
решив уравнение 
а затем одно из полученных значений подставить в выражение для 
По-моему, для решения задачи можно сначала вычислить
решив уравнение а затем одно из полученных значений подставить в выражение для
Об авторе:
Facta loquuntur.
Facta loquuntur.
18.11.2018, 15:11
общий
18.11.2018, 15:11
Адресаты:
Пусть требуется решить уравнение 
или 
Имеем 
Положим 
Тогда
Из уравнения
получим 
подставим в уравнение 
Тогда
Проверьте, пожалуйста, мой расчёт. Если он правильный, то продолжите самостоятельно. Если в нём есть ошибка, то сообщите. Вы можете сделать это?
или Имеем Положим ТогдаИз уравнения
получим подставим в уравнение ТогдаПроверьте, пожалуйста, мой расчёт. Если он правильный, то продолжите самостоятельно. Если в нём есть ошибка, то сообщите. Вы можете сделать это?
Об авторе:
Facta loquuntur.
Facta loquuntur.
21.11.2018, 06:42
общий
это ответ
Здравствуйте, Виктория!
Пусть требуется решить уравнение или Имеем Положим Тогда
Из уравнения получим подставим в уравнение Тогда
Обозначим в биквадратном уравнении
Решая квадратное уравнение 
получим 
Значит, 
При этом 
Вычислим корни заданного уравнения:
Пусть требуется решить уравнение
или Имеем Положим ТогдаИз уравнения
получим подставим в уравнение ТогдаОбозначим в биквадратном уравнении
Решая квадратное уравнение получим Значит, При этом Вычислим корни заданного уравнения:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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