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[函数] 求五次方程的实数根

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lemondian posted 2024-11-12 14:26 |Read mode
《数学通报》问题2810:
求方程$x^5+15x^3+45x+2\sqrt{13}=0$的实数根。

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kuing posted 2024-11-12 14:57
令 `x=y-3/y` 代入即化为 `y^{10}+2\sqrt{13}y^5-243=0`,下略。

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original poster lemondian posted 2024-11-12 15:22
kuing 发表于 2024-11-12 14:57
令 `x=y-3/y` 代入即化为 `y^{10}+2\sqrt{13}y^5-243=0`,下略。
NB
我以为跟这个题有什么类似:
forum.php?mod=viewthread&tid=12300

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