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zeroone01
@zeroone01
August 2022
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Помогите найти целое число х, которое удовлетворяло бы уравнение | х-3 | +2 | х+1 | = 4. Если что, " | " - знак модуля.
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chorobaktygul
Рассмотрим 3 случая
1) х<-1
3-х-2(х+1)=4
3-х-2х-2=4
-3х=4-1
-3х=3
х=-1
2) -1<x<3
3-х+2(х+1)=4
3-х+2х+2=4
х=4-5
х=-1
3) x>3
х-3+2(х+1)=4
х-3+2х+2=4
3х=4+1
3х=5
х=5/3
ответ: х=-1
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Answers & Comments
1) х<-1
3-х-2(х+1)=4
3-х-2х-2=4
-3х=4-1
-3х=3
х=-1
2) -1<x<3
3-х+2(х+1)=4
3-х+2х+2=4
х=4-5
х=-1
3) x>3
х-3+2(х+1)=4
х-3+2х+2=4
3х=4+1
3х=5
х=5/3
ответ: х=-1