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Liliyanya
@Liliyanya
July 2022
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| |х|-8|=5
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yegorgadaev
Рассматриваем 2 случая:
1)х >= 0
| x-8 | = 5
а) x-8 >=0
x >=8
x-8 = 5
x = 13
б) х-8 < 0
x < 8
-x + 8 = 5
x = 3
2)x < 0
| -x - 8 | = 5
а) -х-8>= 0
x<=-8
-x-8 = 5
x = -13
б) -х-8 < 0
x >-8
x+8 = 5
x = -3
Ответ: -13; -3; 3; 13
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Answers & Comments
1)х >= 0
| x-8 | = 5
а) x-8 >=0
x >=8
x-8 = 5
x = 13
б) х-8 < 0
x < 8
-x + 8 = 5
x = 3
2)x < 0
| -x - 8 | = 5
а) -х-8>= 0
x<=-8
-x-8 = 5
x = -13
б) -х-8 < 0
x >-8
x+8 = 5
x = -3
Ответ: -13; -3; 3; 13