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Консультация № 200056
08.01.2021, 17:51
0.00 руб.
1
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
"Найти сумму корней или корень (если он единственный) уравнения: x(1-x)/(2/(5-x)+(1/(x-4)))=6/(2/(x-5)-(1/(x-4)))"
"Найти сумму корней или корень (если он единственный) уравнения: x(1-x)/(2/(5-x)+(1/(x-4)))=6/(2/(x-5)-(1/(x-4)))"
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Обсуждение
08.01.2021, 20:27
общий
это ответ
Здравствуйте, Alex!
==============================================================
Найдем ОДЗ:
==============================================================
Так как знаменатели дробей равны, то равны и их числители, тогда
по теореме Виета:
Получаем, что
Корень
не подходит по ОДЗ, значит, единственный корень уравнения 
Ответ:
==============================================================
Найдем ОДЗ:
==============================================================
Так как знаменатели дробей равны, то равны и их числители, тогда
по теореме Виета:
Получаем, что
Корень
не подходит по ОДЗ, значит, единственный корень уравнения Ответ:
5
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