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libert27
@libert27
July 2022
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2х^3+5х^2+х-2<0
Абсолютная величина наибольшего отрицательного решения
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sangers1959
Verified answer
2x³+5x²+x-2<0
x₁=-1
2x³+5x²+x-2 I_x+1_
2x³+2x² I 2x²+3x-2
-----------
3x²+x
3x²+3x
----------
-2x-2
-2x-2
-------
0
2x²+3x-2=0 D=25
x₂=2 x=₃-0,5 ⇒
(x+1)(x-2)(x+0,5)<0
-∞____-_____-1____+_____-0,5_____-_____2_____+_____+∞
x∈(-∞;-1)U(-0,5;2).
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Answers & Comments
Verified answer
2x³+5x²+x-2<0x₁=-1
2x³+5x²+x-2 I_x+1_
2x³+2x² I 2x²+3x-2
-----------
3x²+x
3x²+3x
----------
-2x-2
-2x-2
-------
0
2x²+3x-2=0 D=25
x₂=2 x=₃-0,5 ⇒
(x+1)(x-2)(x+0,5)<0
-∞____-_____-1____+_____-0,5_____-_____2_____+_____+∞
x∈(-∞;-1)U(-0,5;2).