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sumkov98
@sumkov98
July 2022
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Решить неравенство 5*|5x-x^2+6+10x^3|
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SashaTroian
5|5x - x^2| + 6 + 10x^3 - x^4 - 25x^2<=0
5(5x - x^2)+ 6 + 10x^3 - x^4 - 25x^2<=0, если x∈(-беск;0] ∨ [5;+беск)
25x - 5x^2 + 6 + 10x^3 - x^4 - 25x^2 <=0
(x - 2)(x - 3)(x^2 - 5x + 1)>=0
x∈(-беск;0] ∨ [5;+беск)
5(-(5x - x^2)+ 6 + 10x^3 - x^4 - 25x^2<=0, если x∈(0;5)
-25x + 5x^2 + 6 + 10x^3 - x^4 - 25x^2 <=0
(x+1)(x - 6)(x^2 - 5x + 1)>=0
x∈((2.5-(√21)/2);(2.5 + (√21)/2))
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Answers & Comments
5(5x - x^2)+ 6 + 10x^3 - x^4 - 25x^2<=0, если x∈(-беск;0] ∨ [5;+беск)
25x - 5x^2 + 6 + 10x^3 - x^4 - 25x^2 <=0
(x - 2)(x - 3)(x^2 - 5x + 1)>=0
x∈(-беск;0] ∨ [5;+беск)
5(-(5x - x^2)+ 6 + 10x^3 - x^4 - 25x^2<=0, если x∈(0;5)
-25x + 5x^2 + 6 + 10x^3 - x^4 - 25x^2 <=0
(x+1)(x - 6)(x^2 - 5x + 1)>=0
x∈((2.5-(√21)/2);(2.5 + (√21)/2))