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Kot009
@Kot009
July 2022
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Решите уравнение
X^3-4x^2-16x+64=0
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ShirokovP
Verified answer
X^3 - 4x^2 - 16x + 64 = 0
Решение:
Выносим общий множитель за скобки
x^2( x - 4) - 16(x - 4) = 0
(x^2 - 16) * (x - 4) = 0
(x - 4)* (x + 4) *(x - 4) = 0
(x - 4)^2 * (x + 4) = 0
Получаем
x + 4 = 0
x = - 4
(x - 4)^2 = 0
x - 4 = 0
x = 4
Ответ:
- 4; 4
3 votes
Thanks 4
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Answers & Comments
Verified answer
X^3 - 4x^2 - 16x + 64 = 0Решение:
Выносим общий множитель за скобки
x^2( x - 4) - 16(x - 4) = 0
(x^2 - 16) * (x - 4) = 0
(x - 4)* (x + 4) *(x - 4) = 0
(x - 4)^2 * (x + 4) = 0
Получаем
x + 4 = 0
x = - 4
(x - 4)^2 = 0
x - 4 = 0
x = 4
Ответ:
- 4; 4