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HeavenGirl
@HeavenGirl
August 2021
1
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Найдите целые отрицательные решения неравенств
1)x^4-4x^2<0
2)x^2-x-2/x^2<0
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sedinalana
Verified answer
1)x^4-4x^2<0
x
²*(x-2)(x+2)<0
x=0 x=2 x=-2
+ _ _ +
-------------(-2)------------(0)----------------(2)---------------
x∈(-2;0) U (0;2)
Целое отрицательное х=-1
2)x^2-x-2/x^2<0
x²-x-2=0
x1+x2=1 U x1*x2=-2⇒x1=-1 u x2=2
x²=0⇒x=0
+ _ _ +
----------(-1)------------(0)----------------(2)---------------
x∈(-1;0) U (0;2)
Целых отрицательных нет
4 votes
Thanks 7
HeavenGirl
спасибо большое^^
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Answers & Comments
Verified answer
1)x^4-4x^2<0x²*(x-2)(x+2)<0
x=0 x=2 x=-2
+ _ _ +
-------------(-2)------------(0)----------------(2)---------------
x∈(-2;0) U (0;2)
Целое отрицательное х=-1
2)x^2-x-2/x^2<0
x²-x-2=0
x1+x2=1 U x1*x2=-2⇒x1=-1 u x2=2
x²=0⇒x=0
+ _ _ +
----------(-1)------------(0)----------------(2)---------------
x∈(-1;0) U (0;2)
Целых отрицательных нет