решите срочно плиз (1-[tex] x^{3} [/tex])^2([tex] x^{2} [/tex]-5х) ≤0. Created by Ekaterina1564. algebra-ru

tex]-5х) ≤0...

Ekaterina1564 @Ekaterina1564

March 2022 1 15 Report

решите срочно плиз
(1-[tex] x^{3} [/tex])^2([tex] x^{2} [/tex]-5х) ≤0

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eugeke

Verified answer

$(1-x^3)^2(x^2-5x)\leq 0\\\\
1-x^3 \leq 0\\
-x^3 \leq -1\\
x \geq 1\\\\
x^2-5x \leq 0\\
x(x-5) \leq 0\\\\
x \leq 0\\\\
x-5 \leq 0\\
x \leq 5$

Ответ: $x\in[0;5]$

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