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ambition8821

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µãµã·ç(½ð±Ò+1,VIP+0):¸Ðл²ÎÓëÌÖÂÛ 4-22 10:41
ÊÇx^3+x^2-3x-1=0Â𣿺ÜÈÝÒ×ÑéÖ¤Õâ¸ö·½³ÌûÓÐÓÐÀí¸ù¡£

baiduÉÏÕÒÁËһϣ¬»¹ÕæÓиöÒ»ÔªÈý´Î·½³ÌµÄÇó¸ù¹«Ê½£¬Äãµ½ÉÏÃæ×Ô¼ºÂýÂýÑо¿°É
http://baike.baidu.com/view/1382952.htm
2Â¥2009-04-21 23:25:50
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fspdlh

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µãµã·ç(½ð±Ò+2,VIP+0):¸Ðл²ÎÓëÌÖÂÛ 4-22 10:41
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>> x=solve('x^3+x^2-3*x-1=0')

x =

                                                                            1/3*(-1+3*i*111^(1/2))^(1/3)+10/3/(-1+3*i*111^(1/2))^(1/3)-1/3
-1/6*(-1+3*i*111^(1/2))^(1/3)-5/3/(-1+3*i*111^(1/2))^(1/3)-1/3+1/2*i*3^(1/2)*(1/3*(-1+3*i*111^(1/2))^(1/3)-10/3/(-1+3*i*111^(1/2))^(1/3))
-1/6*(-1+3*i*111^(1/2))^(1/3)-5/3/(-1+3*i*111^(1/2))^(1/3)-1/3-1/2*i*3^(1/2)*(1/3*(-1+3*i*111^(1/2))^(1/3)-10/3/(-1+3*i*111^(1/2))^(1/3))


>> simplify(x)

ans =

                                                                                1/3*((-1+3*i*111^(1/2))^(2/3)+10-(-1+3*i*111^(1/2))^(1/3))/(-1+3*i*111^(1/2))^(1/3)
1/6*(-(-1+3*i*3^(1/2)*37^(1/2))^(2/3)-10-2*(-1+3*i*3^(1/2)*37^(1/2))^(1/3)+i*3^(1/2)*(-1+3*i*3^(1/2)*37^(1/2))^(2/3)-10*i*3^(1/2))/(-1+3*i*3^(1/2)*37^(1/2))^(1/3)
-1/6*((-1+3*i*3^(1/2)*37^(1/2))^(2/3)+10+2*(-1+3*i*3^(1/2)*37^(1/2))^(1/3)+i*3^(1/2)*(-1+3*i*3^(1/2)*37^(1/2))^(2/3)-10*i*3^(1/2))/(-1+3*i*3^(1/2)*37^(1/2))^(1/3)


>> eval(x)

ans =

   1.4812 - 0.0000i
  -2.1701 - 0.0000i
  -0.3111 + 0.0000i

>> roots([1 1 -3 -1])

ans =

   -2.1701
    1.4812
   -0.3111

>>
3Â¥2009-04-22 08:44:57
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ambition8821

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