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Консультация № 200454
18.03.2021, 22:50
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Здравствуйте! Помогите пожалуйста:
при каких значениях параметра а уравнение имеет 2 корней:
|3x-a+4|+|5x+3a|=3
при каких значениях параметра а уравнение имеет 2 корней:
|3x-a+4|+|5x+3a|=3
Обсуждение
19.03.2021, 15:49
общий
Адресаты:
Маткад решил Вашу задачу итерационным методом.
Ответ : уравнение имеет 2 корня, если значения параметра а находятся в пределах от 0,36 до 2,5.
Розовая ломаная линия соответствует значению параметра a = 1, голубая - a = 2.
Если a < 0,36 (коричневая ломаная линия) или a > 2,5 (зелёная ломаная), то уравнение НЕ имеет корней.
Если a = 0,36 (красная ломаная линия) или a = 2,5 (чёрная ломаная), то уравнение имеет 1 корень.
Может, семейство графических характеристик поможет кому-то решить эту задачу аналитически? У меня ума не хватает.
Ответ : уравнение имеет 2 корня, если значения параметра а находятся в пределах от 0,36 до 2,5.
Розовая ломаная линия соответствует значению параметра a = 1, голубая - a = 2.
Если a < 0,36 (коричневая ломаная линия) или a > 2,5 (зелёная ломаная), то уравнение НЕ имеет корней.
Если a = 0,36 (красная ломаная линия) или a = 2,5 (чёрная ломаная), то уравнение имеет 1 корень.
Может, семейство графических характеристик поможет кому-то решить эту задачу аналитически? У меня ума не хватает.
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