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svetlanakuzina1
@svetlanakuzina1
July 2022
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Решите уравнение:
x³ - 5x² - x + 5 = 0
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StrangeStud
Проверяем -1 сначала,
-1 подходит, делим многочлен на (x+1)
Получаем
(x+1)(x^2-6x+5)=0
x^2-6x+5=0
По теореме Виета
x1 = 5 x2 = 1
Ответ: x1 = -1, x2 = 5, x3=1
1 votes
Thanks 1
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Answers & Comments
-1 подходит, делим многочлен на (x+1)
Получаем
(x+1)(x^2-6x+5)=0
x^2-6x+5=0
По теореме Виета
x1 = 5 x2 = 1
Ответ: x1 = -1, x2 = 5, x3=1