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Консультация № 189741
05.09.2016, 14:58
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
|x в вадрате - 9|=9-x в квадрате
|x в вадрате - 9|=9-x в квадрате
Обсуждение
05.09.2016, 18:49
общий
это ответ
Здравствуйте, LoraKrut!
|x2-9|=9-x2
Это уравнение вида |f(x)|=-f(x)
Согласно определению модуля (и учитывая, что при f(x)=0 имеем |f(x)|=f(x)=-f(x), поэтому неравенство нестрогое), его решение
f(x)[$8804$]0
x2-9[$8804$]0
x2[$8804$]32
Последнее преобразуется в решение |x|[$8804$]3
или x[$8712$][-3; 3]
|x2-9|=9-x2
Это уравнение вида |f(x)|=-f(x)
Согласно определению модуля (и учитывая, что при f(x)=0 имеем |f(x)|=f(x)=-f(x), поэтому неравенство нестрогое), его решение
f(x)[$8804$]0
x2-9[$8804$]0
x2[$8804$]32
Последнее преобразуется в решение |x|[$8804$]3
или x[$8712$][-3; 3]
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