关于一元六次方程(解的个数)
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  • 楼主Justin090102
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  • 发布时间2022/1/12 18:21
  • 上次更新2023/10/28 12:28:29
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关于一元六次方程(解的个数)
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Justin090102楼主2022/1/12 18:21

为什么我没见过6个不同实数根的一元六次方程(

1个实数根的一次方程:x=0(x=0)x=0(x=0)

2个实根的二次方程:x2−1=0(x=1or−1)x^{2}-1=0(x=1or-1)

3个实根的三次方程:x3−x2+0.1=0(x=−0.280,0.413,0.867)x^{3}-x^{2}+0.1=0(x=-0.280,0.413,0.867)

4个根的四次方程:x4−x3−x2+0.01=0(x=−0.106,−0.606,0.096,1.616)x^{4}-x^{3}-x^{2}+0.01=0(x=-0.106,-0.606,0.096,1.616)

5个根的五次方程:x5−2x4−x3+2x2−0.1=0(x=−0.982,−0.218,0.246,0.945,2.008)x^{5}-2x^{4}-x^{3}+2x^{2}-0.1=0(x=-0.982,-0.218,0.246,0.945,2.008)

4个根的六次方程:x6−x4−x2+x5+0.1+x3−x=0x^{6}-x^{4}-x^{2}+x^{5}+0.1+x^{3}-x=0

6个根的六次方程:???

我承认我可能有点无聊

2022/1/12 18:21
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