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Консультация № 200462
18.03.2021, 23:10
0.00 руб.
0
5
1
Здравствуйте! Прошу помощи в следующем вопросе:
решить уравнение
а) |х-1|+|х+1|+|х-2|+|х+2|+...+|х-100|+|х+100|=200х
б) |х|/х+|у|/у=1
решить уравнение
а) |х-1|+|х+1|+|х-2|+|х+2|+...+|х-100|+|х+100|=200х
б) |х|/х+|у|/у=1
Обсуждение
19.03.2021, 20:43
общий
Адресаты:
Если в уравнении a положить 
то заданное уравнение примет вид 
то есть обратится в тождество. Непосредственной проверкой можно убедиться, что 
тоже является решением уравнения.
то заданное уравнение примет вид то есть обратится в тождество. Непосредственной проверкой можно убедиться, что тоже является решением уравнения.
Об авторе:
Facta loquuntur.
Facta loquuntur.
03.07.2022, 07:32
общий
это ответ
Здравствуйте, lana-gona!
Первая задача рассмотрена здесь: Ссылка >>.
Предлагаю для возможных посетителей портала решение второй задачи. При любых значениях
и 
отличных от нуля, как первое, так и второе слагаемое в левой части уравнения вместе или порознь могут принимать либо значение 
либо значение 
Сумма этих двух чисел не может быть равна единице. Поэтому у заданного уравнения нет решений, или множество решений заданного уравнения пусто.
Первая задача рассмотрена здесь: Ссылка >>.
Предлагаю для возможных посетителей портала решение второй задачи. При любых значениях
и отличных от нуля, как первое, так и второе слагаемое в левой части уравнения вместе или порознь могут принимать либо значение либо значение Сумма этих двух чисел не может быть равна единице. Поэтому у заданного уравнения нет решений, или множество решений заданного уравнения пусто.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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