Решите неравенство!!!!!! (x-1)(x+2)^2(x-3)^3(x-4)^4 =

July 2022 1 7 Report

Решите неравенство!!!!!!

(x-1)(x+2)^2(x-3)^3(x-4)^4 =<0

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$(x-1)(x+2)^2(x-3)^3(x-4)^4 \leq 0$
найдем нули функции:
$x-1=0$
$x=1$
$x+2=0$
$x=-2$
$x-3=0$
$x=3$
$x-4=0$
$x=4$
Наносим нули функции на числовую прямую и решаем методом интервалов:

-----+-------[-2]----+------[1]---- - -----[3]-----+-----[4]-----+-------
//////////////

Ответ: $x$ ∈ { $-2$ } ∪ $[1;3]$ ∪ { $4$ }

alinagunba99 Спасибо))))

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alinagunba99 August 2022 | 0 Ответы

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