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Консультация № 189623
27.06.2016, 20:40
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Нужно найти значения параметра а, при каждом из которых все решения уравнения 2|x-a|+a-4+x=0 удовлетворяют неравенству х меньше либо равно 4 и больше либо равно 0.
Найти значение параметра а, при каждом из которых наименьшее значение функции f(x)=2ax+|x^2-8x+7| больше 1.
Нужно найти значения параметра а, при каждом из которых все решения уравнения 2|x-a|+a-4+x=0 удовлетворяют неравенству х меньше либо равно 4 и больше либо равно 0.
Найти значение параметра а, при каждом из которых наименьшее значение функции f(x)=2ax+|x^2-8x+7| больше 1.
Обсуждение
29.06.2016, 09:00
общий
это ответ
Здравствуйте, Prepod!
Приведу результаты своей попытки решить первое задание.
При x-a[$8805$]0 заданное уравнение принимает вид
откуда находим
При условии 0[$8804$]x[$8804$]4 получим
При x-a<0 заданное уравнение принимает вид
откуда находим
При условии 0[$8804$]x[$8804$]4 получим
Как я понимаю, все решения заданного уравнения удовлетворяют условию 0[$8804$]x[$8804$]4 при 4/3[$8804$]a[$8804$]8/3.
Ответ: 4/3[$8804$]a[$8804$]8/3.
Приведу результаты своей попытки решить первое задание.
При x-a[$8805$]0 заданное уравнение принимает вид
2(x-a)+a-4+x=0,
откуда находим
3x=a+4,
x=(a+4)/3.
При условии 0[$8804$]x[$8804$]4 получим
0[$8804$](a+4)/3[$8804$]4,
-4[$8804$]a[$8804$]8.
При x-a<0 заданное уравнение принимает вид
-2(x-a)+a-4+x=0,
откуда находим
x=3a-4.
При условии 0[$8804$]x[$8804$]4 получим
0[$8804$]3a-4[$8804$]4,
4/3[$8804$]a[$8804$]8/3.
Как я понимаю, все решения заданного уравнения удовлетворяют условию 0[$8804$]x[$8804$]4 при 4/3[$8804$]a[$8804$]8/3.
Ответ: 4/3[$8804$]a[$8804$]8/3.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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