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Nuraika04
@Nuraika04
September 2021
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Решите неравенство пожалуйста
(x^2-3x+2) (x^3-3x^2) (4-x^2) меньше равно 0
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sedinalana
Verified answer
(x²-3x+2)(x³-3x²)(4-x²)≤0
(x-1)(x-2)*x²(x-3)(x-2)(x+2)≥0
x²(x-1)(x-2)²(x-3)(x+2)≥0
x=0 x=1 x=2 x=3 x=-2
_ + + _ _ +
-----------[-2]---------[0]----------[1]---------[2]----------[3]------------
x∈[-2;1] U 3;∞) U {2}
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Answers & Comments
Verified answer
(x²-3x+2)(x³-3x²)(4-x²)≤0(x-1)(x-2)*x²(x-3)(x-2)(x+2)≥0
x²(x-1)(x-2)²(x-3)(x+2)≥0
x=0 x=1 x=2 x=3 x=-2
_ + + _ _ +
-----------[-2]---------[0]----------[1]---------[2]----------[3]------------
x∈[-2;1] U 3;∞) U {2}