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Влада888
@Влада888
July 2022
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решите уравнение y^5-3y^4-8y^2+24y=0
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m11m
У⁵-3у⁴-8у²+24у=0
(у⁵-3у⁴)-(8у²-24у)=0
у⁴(у-3)-8у(у-3)=0
(у-3)(у⁴-8у)=0
у(у³-8)(у-3)=0
у=0 у³-8=0 у-3=0
у³=8 у=3
у³=2³
у=2
Ответ: 0; 2; 3.
2 votes
Thanks 1
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Answers & Comments
(у⁵-3у⁴)-(8у²-24у)=0
у⁴(у-3)-8у(у-3)=0
(у-3)(у⁴-8у)=0
у(у³-8)(у-3)=0
у=0 у³-8=0 у-3=0
у³=8 у=3
у³=2³
у=2
Ответ: 0; 2; 3.