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Я надеюсь, что Вас не затруднит сообщить текст задания в соответствии с источником, из которого Вы его взяли. Потом можете уточнить, что конкретно в этом задании оказалось для Вас сложным.
Наверное, сообщить текст задания в соответствии с источником, из которого Вы его взяли, составляет для Вас большую проблему. Что касается ОДЗ, то для её установления, по-моему, нужно исходить из того, что
Если Вам непременно нужно установить ОДЗ заданного уравнения, то Вы можете воспользоваться указанием, которое я дал Вам в своём сообщении в мини-форуме консультации. Что Вы подразумеваете под отбором корней, я не понял, и поэтому не могу ответить. Сообщу Вам свои соображения по решению этого уравнения.
Пусть Тогда знаменатель дроби в левой части уравнения обращается в нуль. Значит и вообще не является решением.
Пусть Тогда Из заданного уравнения получим
В рассматриваемом промежутке изменения аргумента корнем является только Значит, Кроме этого, решениями будут
Пусть Тогда знаменатель дроби в правой части уравнения обращается в нуль. Значит, и вообще не является решением.
Рассматривая значения аналогично изложенному выше, Вы получите все решения заданного уравнения.
Об авторе:
Facta loquuntur.
Форма ответа
Отправка постов/ответов доступна только зарегистрированным и подтвержденным пользователям.
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lk 
Гордиенко Андрей Владимирович 
Тогда 
знаменатель дроби в левой части уравнения обращается в нуль. Значит 
и вообще 
не является решением.
Тогда 
Из заданного уравнения получим
корнем является только 
Значит, 
Кроме этого, решениями будут 
Тогда 
знаменатель дроби в правой части уравнения обращается в нуль. Значит, 
и вообще 
не является решением.
аналогично изложенному выше, Вы получите все решения заданного уравнения.