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OVI1320
@OVI1320
March 2022
1
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РЕШИТЬ НЕРАВЕНСТВО
x^2*4^x-4^(1+x)>0
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MizoriesKun
x
²
*4
ˣ
- 4
¹⁺ˣ
>0
x
²
*4
ˣ
- 4*4
ˣ
>0
4
ˣ
*(x
²
- 4)>0 4
ˣ
>0 при любом х
х
²
- 4 >0
x
²
>4
-2>x>2
x
∈(-∞; -2)∪(2; +∞)
1 votes
Thanks 1
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Answers & Comments
x²*4ˣ- 4*4ˣ>0
4ˣ *(x²- 4)>0 4ˣ >0 при любом х
х² - 4 >0
x²>4
-2>x>2
x∈(-∞; -2)∪(2; +∞)