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Консультация № 197835
20.02.2020, 21:00
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: необходимо найти все значения a, при которых система уравнений имеет ровно 4 решения. 
Обсуждение
21.02.2020, 15:51
общий
это ответ
Здравствуйте, Костина Анна!
Продолжение в минифоруме будет
Продолжение в минифоруме будет
Прикрепленные файлы:
21.02.2020, 16:53
общий
Адресаты:
Спасибо большое. Только не пойму, почему а принадлежит от 1/4 до -2.
21.02.2020, 17:50
общий
Адресаты:
, при а=1/4 прямая у=х+а будет касательной к кривым. Если а будет больше 1/4, то прямая у=х+а поднимется вверх и будет пересекать кривые и прямую х=2 только в трех точках(3 корня), если а будет меньше чем 1/4 то прямая у=х+а будет пересекать кривые и прямую х=2 в 4 точках ( то что надо), при уменьшении а до значения а= -17/4 (нижняя касательная) прямая будет пересекать кривые и прямую х=2 в 4 точках. А вот при а=2 два корня будут совпадать и их останется только 3. Это значение нужно из интервала (1/4;-17/4) выкинуть
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