X的三次减2X加1等于0,X等于多少

学习 时间:2026-08-23 09:37:36 阅读:373
X的三次减2X加1等于0,X等于多少

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英俊的狗

专注的草莓

2026-08-23 09:37:36

解x³-2x+1=0x³-x²+x²-x-x+1=0(x³-x²)+(x²-x)-(x-1)=0x²(x-1)+x(x-1)-(x-1)=0(x-1)(x²+x-1)=0∴x-1=0或x²+x-1=0∴x=1或x=(-1±√5)/2

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  • 甜蜜的黑猫
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    2026-08-23 09:37:36

    解x³-2x+1=0x³-x²+x²-x-x+1=0(x³-x²)+(x²-x)-(x-1)=0x²(x-1)+x(x-1)-(x-1)=0(x-1)(x²+x-1)=0∴x-1=0或x²+x-1=0∴x=1或x=(-1±√5)/2

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