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Консультация № 193716
17.10.2018, 20:12
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
найдите сумму кубов корней уравнения 2х^2-4x-3=0
найдите сумму кубов корней уравнения 2х^2-4x-3=0
Обсуждение
17.10.2018, 20:15
общий
я решила уравнение и нашла два корня x1= (2+sqrt10)/2 и х2=(2-sqrt10)/2 возвести в куб используя формулу сокращенного уравнения? тут есть корни и дробь и у меня не получается по формуле посчитать
17.10.2018, 20:24
общий
Адресаты:
, здесь не надо находить корни. x1^3+x2^3=(x1+x2)(x1^2-x1x2+x2^2)=(x1+x2)((x1+x2)^2-3x1x2)
аше уравнение x^2-2x-(3/2)=0 По теореме Виета x1+x2=2 x1*x2=-(3/2) Подставляйте
аше уравнение x^2-2x-(3/2)=0 По теореме Виета x1+x2=2 x1*x2=-(3/2) Подставляйте
17.10.2018, 21:04
общий
вообще запуталась с этими корнями. Получилась система уравнений. выражаем х1=2-х2. получаем уравнение x2^2-2x2-(3/2)=0
корни этого уравнеия будут x1= (2+sqrt10)/2 и х2=(2-sqrt10)/2. Уравнение примет вид (х2-(2+sqrt10)/2)*(х2-(2-sqrt10)/2). Как можно найти х1? что подставлять? Или я опять все усложняю?
корни этого уравнеия будут x1= (2+sqrt10)/2 и х2=(2-sqrt10)/2. Уравнение примет вид (х2-(2+sqrt10)/2)*(х2-(2-sqrt10)/2). Как можно найти х1? что подставлять? Или я опять все усложняю?
17.10.2018, 21:14
общий
это ответ
Здравствуйте, anu7a!
Я же все написал. Чего там непонятно?
Я же все написал. Чего там непонятно?
Прикрепленные файлы:
5
-- корни заданного уравнения. Имеем
даёт
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