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m0rpher
@m0rpher
October 2021
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Решите уравнение !!!!
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m11m
| 3+2x | = | 4-x |
По свойству модуля |a|² = a²:
(3+2x)²=(4-x)²
(3+2x)² - (4-x)²=0
(3+2x-4+x)(3+2x+4-x)=0
(3x-1)(x+7)=0
3x-1=0 x+7=0
3x=1 x=-7
x=1/3
Ответ: -7; 1/3.
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Answers & Comments
По свойству модуля |a|² = a²:
(3+2x)²=(4-x)²
(3+2x)² - (4-x)²=0
(3+2x-4+x)(3+2x+4-x)=0
(3x-1)(x+7)=0
3x-1=0 x+7=0
3x=1 x=-7
x=1/3
Ответ: -7; 1/3.