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Zarkus
@Zarkus
August 2022
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Решите неравенство:[tex] \frac{1}{9} ^{ \frac{4-x^{2} }{2} } \geq 27 ^{x} [/tex]
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sedinalana
Verified answer
(3^-2)^[(4-x²)/2]≥(3³)^x
3^(x²-4)≥3^3x
x²-4≥3x
x²-3x-4≥0
x1+x2=3 U x1*x2=-4
x1=-1 U x2=4
x∈(-∞;-1] U [4;∞)
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Answers & Comments
Verified answer
(3^-2)^[(4-x²)/2]≥(3³)^x3^(x²-4)≥3^3x
x²-4≥3x
x²-3x-4≥0
x1+x2=3 U x1*x2=-4
x1=-1 U x2=4
x∈(-∞;-1] U [4;∞)