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olgatenis
@olgatenis
August 2022
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Решить неравенство x^2*9^sqrtx<3^(2(sqrtx+2))
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sedinalana
Verified answer
ОДЗ x≥0
x²*9^√x-9*3^2√x<0
x²*9^√x-9*9^√x<0
9^√x*(x²-9)<0
9^√x>0 при всех x≥0⇒
(x-3)(x+3)<0
x=-3 x=3
-3<x<3
Ответ x∈[0;3)
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Answers & Comments
Verified answer
ОДЗ x≥0x²*9^√x-9*3^2√x<0
x²*9^√x-9*9^√x<0
9^√x*(x²-9)<0
9^√x>0 при всех x≥0⇒
(x-3)(x+3)<0
x=-3 x=3
-3<x<3
Ответ x∈[0;3)