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Anastaia1607
@Anastaia1607
August 2022
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ребят.мне нужен ответ уравнения 8^x-3*4^x+(9*4^x-288)/2^x-9<=32
буду благодарна
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гюйс
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8ˣ-3*4ˣ+(9*4ˣ-288)/(2ˣ-9)≤32
2³ˣ-3*2²ˣ+(9*2²ˣ-288)/(2ˣ-9)≤32
пусть 2ˣ=у, тогда
у³-3у²+(9у²-288)/(у-9)≤32
у³(у-9) - 3у²(у-9)+9у²-288≤32(у-9)
у⁴-9у³-3у³+27у²+9у²-288-32у+288≤0
у⁴-12у³+36у²-32у≤0
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гюйс
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Answers & Comments
Verified answer
8ˣ-3*4ˣ+(9*4ˣ-288)/(2ˣ-9)≤322³ˣ-3*2²ˣ+(9*2²ˣ-288)/(2ˣ-9)≤32
пусть 2ˣ=у, тогда
у³-3у²+(9у²-288)/(у-9)≤32
у³(у-9) - 3у²(у-9)+9у²-288≤32(у-9)
у⁴-9у³-3у³+27у²+9у²-288-32у+288≤0
у⁴-12у³+36у²-32у≤0