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English1is2my3fav
@English1is2my3fav
July 2022
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Раскройте модуль и решите уравнение |3х+2|=|х-1|
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Dимасuk
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Раскроем модули двумя случаями:
1) Оба числа одинакового знака
3x + 2 = x - 1
3x - x = -1 - 2
2x = -3
x = -3/2
2) Числа разного знака
3x + 2 = -x + 1
3x + x = 1 - 2
4x = -1
x = -1/4
Ответ: x = -3/2; -1/4.
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Answers & Comments
Verified answer
Раскроем модули двумя случаями:1) Оба числа одинакового знака
3x + 2 = x - 1
3x - x = -1 - 2
2x = -3
x = -3/2
2) Числа разного знака
3x + 2 = -x + 1
3x + x = 1 - 2
4x = -1
x = -1/4
Ответ: x = -3/2; -1/4.