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ekaterinagolys
@ekaterinagolys
August 2022
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Решить уравнение : log x+1 (x2 – 3x + 2) = 1
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Dgenny12
1) x+1>0
x> -1
2) x+1≠1
x≠0
3) x² -3x+1>0
--------------------------------
x² -3x+1=x+1
x² -3x-x+1-1=0
x² -4x=0
x(x-4)=0
a) x=0 - не подходит по ОДЗ.
b) x-4=0
x=4
Проверка по ОДЗ:
4> -1 - верно
4² -3*4+1 > 0
5 > 0 - верно
Ответ: 5
1 votes
Thanks 2
ekaterinagolys
чертеж есть
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Answers & Comments
x> -1
2) x+1≠1
x≠0
3) x² -3x+1>0
--------------------------------
x² -3x+1=x+1
x² -3x-x+1-1=0
x² -4x=0
x(x-4)=0
a) x=0 - не подходит по ОДЗ.
b) x-4=0
x=4
Проверка по ОДЗ:
4> -1 - верно
4² -3*4+1 > 0
5 > 0 - верно
Ответ: 5