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方程$x^3-2x=0$能不能变换成$8x^3-6x-1=0?$（特别是线性变换）

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lemondian posted 2024-8-8 21:53 |Read mode

方程$x^3-2x=0$能不能变换成$8x^3-6x-1=0?$（特别是线性变换）

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kuing posted 2024-8-9 14:41

前者直接写出三根是 0 和 ±√2
后者直接写出三角解是 cos(π/9), cos(5π/9), cos(7π/9)
你觉得能变吗？

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对头！😊 posted 2024-8-11 11:59

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