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Консультация № 189760
10.09.2016, 21:52
0.00 руб.
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Здравствуйте! Прошу помощи в следующей задачи ( № 8 ) :
Прикрепленные файлы:
Обсуждение
12.09.2016, 13:15
общий
это ответ
Здравствуйте, anton74551!
Задачу можно решить, выполнив деление многочленов "в столбик" и приравняв остаток нулю.
Процесс деления самый обычный, поэтому приведу только последние две строки:
(7 + 2a)x2 + (1 - 3a - a2)x + a
(7 + 2a)x2 + (7 + 2a)x + (7 + 2a)a.
Чтобы эти многочлены были равны, должны выполняться условия:
1 - 3a - a2 = 7 + 2a
(7 + 2a)a = a.
Т.к. a = 0 не удовлетворяет первому уравнению, из второго следует
7 + 2a = 1, a = -3.
Это значение удовлетворяет первому уравнению тоже,
т.е. искомое значение a = -3.
Задачу можно решить, выполнив деление многочленов "в столбик" и приравняв остаток нулю.
Процесс деления самый обычный, поэтому приведу только последние две строки:
(7 + 2a)x2 + (1 - 3a - a2)x + a
(7 + 2a)x2 + (7 + 2a)x + (7 + 2a)a.
Чтобы эти многочлены были равны, должны выполняться условия:
1 - 3a - a2 = 7 + 2a
(7 + 2a)a = a.
Т.к. a = 0 не удовлетворяет первому уравнению, из второго следует
7 + 2a = 1, a = -3.
Это значение удовлетворяет первому уравнению тоже,
т.е. искомое значение a = -3.
Форма ответа
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