∛(25*x)≥x
(∛(25*x))³≥x³
25*x≥x³
x³-25x≤0
x*(x²-25)≤0
x*(x²-5²)≤0
x*(x-5)*(x+5)≤0
x₁=0 x₂=5 x₃=-5 ⇒
-∞___-___-5___+___0___-___5___+___+∞
Ответ: x∈(-∞;-5]U[0;5].
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
∛(25*x)≥x
(∛(25*x))³≥x³
25*x≥x³
x³-25x≤0
x*(x²-25)≤0
x*(x²-5²)≤0
x*(x-5)*(x+5)≤0
x₁=0 x₂=5 x₃=-5 ⇒
-∞___-___-5___+___0___-___5___+___+∞
Ответ: x∈(-∞;-5]U[0;5].