Решите уравнение пожалуйста . Created by Veronika4512. algebra-ru

16/(x²-16) +x/(x+4) =2/(x-4) ;ОДЗ :x ≠ ± 4.16/(x²-16) +x/(x+4) =2/(x-4) || *(x² -16)16 +x(x-4)=2(x+4);16+x²-4x=2x+8 ;x² -6x+8 =0 ;x =3±√(9-8) ;x₁=3-1 =2;x₂=3+1 =4 (не решения_∉ ОДЗ )ответ : x=2.=========================16/(x²-16) +x/(x+4) =2/(x-4) ;16/(x²-16) +x/(x+4) -2/(x-4) =0 ;(16 +x(x-4) -2(x+4)) /(x-4)(x+4)=0 ;* * * x²-16=x²-4² =((x-4)(x+4) * * *(16 +x² -4x -2x-8))/(x-4)(x+4)=0 ;(x² -6x+8)/(x-4)(x+4)= 0 ; {x² -6x+8=0 ; x ≠ ± 4.{[x=2;x=4 ; x ≠ ± 4.x=2. Реклама Реклама Новые вопросы в Алгебра Что из следующего является одночленом: -4x3 или 2x2 - 1? Нужна помощь, спасибо заранее 6 номер Дам 40 балом 7. Упростите выражение х(х + 2)(х – 2) — 2(х – 1)(х? +x+1) + (х – 1) . Дам 40 балов срочно нужна помощь. Помогите!!! Срочно нужно Назови утверждения, соответствующие данной записи A єl. (Правильными могут быть несколько ответов.) Точка А. Ана находится на прямой Оточка А находитс … я не на прямой Опрямая і не проходит через точку А Прямая А проходит через точку і Точка А является точкой прямой . Опрямая 1 проходит через точку А. Ответить 5x-7 при x=9 очень срочно Упростите выражения 2,7 помогите срочно ............. Предыдущий Следующий Реклама - это не так уж плохо Реклама - это не так уж плохо Понимаем - вы пришли сюда не за рекламой. Но она помогает нам предоставлять бесплатный доступ к Знаниям. Пожалуйста, внесите наш сайт в список разрешенных. ОК, разблокирую рекламу на Знаниях! Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Решите уравнение пожалуйста ...

Veronika4512 @Veronika4512

September 2021 1 50 Report

Решите уравнение пожалуйста

Answers & Comments

oganesbagoyan

Verified answer

16/(x²-16) +x/(x+4) =2/(x-4) ;
ОДЗ :x ≠ ± 4.
16/(x²-16) +x/(x+4) =2/(x-4) || *(x² -16)
16 +x(x-4)=2(x+4);
16+x²-4x=2x+8 ;
x² -6x+8 =0 ;
x =3±√(9-8) ;
x₁=3-1 =2;
x₂=3+1 =4 (не решения_∉ ОДЗ )
ответ : x=2.
=========================
16/(x²-16) +x/(x+4) =2/(x-4) ;
16/(x²-16) +x/(x+4) -2/(x-4) =0 ;
(16 +x(x-4) -2(x+4)) /(x-4)(x+4)=0 ;* * * x²-16=x²-4² =((x-4)(x+4) * * *
(16 +x² -4x -2x-8))/(x-4)(x+4)=0 ;
(x² -6x+8)/(x-4)(x+4)= 0 ;
{x² -6x+8=0 ; x ≠ ± 4.
{[x=2;x=4 ; x ≠ ± 4.
x=2.

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