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Консультация № 190486
26.01.2017, 12:12
0.00 руб.
0
4
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Найти значение параметра а, при котором корни уравнения х² – (а–1)х –а +2 = 0 имеют разные знаки, а сумма их квадратов равна 13.
Найти значение параметра а, при котором корни уравнения х² – (а–1)х –а +2 = 0 имеют разные знаки, а сумма их квадратов равна 13.
Обсуждение
26.01.2017, 12:54
общий
это ответ
Здравствуйте, svrvsvrv!
Найдем корни:
Сума квадратов корней:
По условию:
Откуда:
Подставим в формулу (1) и проверим знаки корней:
Видим, что |[$8730$]17| > |3|, значит корни будут иметь разные знаки
Видим, что |[$8730$]1| < |-5|, значит корни будут иметь одинаковые знаки
Ответ: условию задачи удовлетворяет значение a = 4
Найдем корни:
Сума квадратов корней:
По условию:
Откуда:
Подставим в формулу (1) и проверим знаки корней:
Видим, что |[$8730$]17| > |3|, значит корни будут иметь разные знаки
Видим, что |[$8730$]1| < |-5|, значит корни будут иметь одинаковые знаки
Ответ: условию задачи удовлетворяет значение a = 4
5
Спасибо
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
26.01.2017, 13:18
общий
Адресаты:
Параметр а, удовлетворяющий условию задачи, один и он равен 4, а корней (х) будет два
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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