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Консультация № 197249
27.11.2019, 18:10
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найдите все значения параметра а,при каждом из которых уравнение 2х+1=а*abs(x-3)на промежутке от 0 до плюс бесконечности имеет более двух решений.
Найдите все значения параметра а,при каждом из которых уравнение 2х+1=а*abs(x-3)на промежутке от 0 до плюс бесконечности имеет более двух решений.
Обсуждение
30.11.2019, 12:24
общий
это ответ
Здравствуйте, sudak_vesyoloe!
Можно решить графически. Построим график
у = 2х +1 и у = а|x — 3|
График последней функции это график у = a|x| со сдвигом по оси ОХ в точку х=3
Максимальное количество точек пересечения может быт равно двум, если коэффициент последней функции будет больше 2
Значит ответ: при а >2
Можно решить графически. Построим график
у = 2х +1 и у = а|x — 3|
График последней функции это график у = a|x| со сдвигом по оси ОХ в точку х=3
Максимальное количество точек пересечения может быт равно двум, если коэффициент последней функции будет больше 2
Значит ответ: при а >2
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