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Консультация № 189739
05.09.2016, 14:55
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
|3x+2|=11-x
|3x+2|=11-x
Обсуждение
05.09.2016, 19:12
общий
это ответ
Здравствуйте, LoraKrut!
Раскрываем модуль по его определению:
при 3x+2[$8805$]0, то есть x[$8805$]-2/3
3x+2=11-x
4x=9
x=9/4, что удовлетворяет условию x[$8805$]-2/3
при 3x+2<0, то есть x<-2/3
-3x-2=11-x
-13=2x
x=-13/2, что удовлетворяет условию x<-2/3
Итого, у нас 2 корня:
x=9/4 и x=-13/2
Раскрываем модуль по его определению:
при 3x+2[$8805$]0, то есть x[$8805$]-2/3
3x+2=11-x
4x=9
x=9/4, что удовлетворяет условию x[$8805$]-2/3
при 3x+2<0, то есть x<-2/3
-3x-2=11-x
-13=2x
x=-13/2, что удовлетворяет условию x<-2/3
Итого, у нас 2 корня:
x=9/4 и x=-13/2
Форма ответа
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