Предмет: Алгебра, автор: Ksjushaasbauva

Решите уравнение
корень 7 степени из х-1 = -х+3

Ответы

Автор ответа: dtnth
0
Функция y(x)=sqrt[7]{x-1} возрастающая на числовой оси, а функция
f(x)=-x+3 убывающая на всей числовой оси
(это следует из свойств функции корня нечетной степени и линейной функции)

а значит данное уравнение либо имеет ровно один корень, либо не имеет их вообще
Тривиальный корень х=2 довольно легко угадывается.
ответ: 2
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