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View Full Version : giải phương trình bậc ba và bậc bốn dạng tổng quát



huynhanhtuan
09-12-2007, 13:39
Mình đã viết được chương trình giải phương trình bậc ba và bậc bốn dạng tổng quát, nếu ai có nhu cầu thì liên hệ với mình( mình không biết post file lên)
Email:tieurongtien@yahoo.com

mr_invincible
09-12-2007, 16:44
Cái này thì chắc dùng công thức là được chứ có gì lạ đâu

phuclun
09-12-2007, 21:34
oh men ,cái đó trong mấy sách có đầy đấy bạn ơi,dù sao cũng cám ơn lòng tốt của bạn.

mr_invincible
10-12-2007, 23:15
oh men ,cái đó trong mất sách có đầy đấy bạn ơi,dù sao cũng cám ơn lòng tốt của bạn.

Mình không hiểu từ mất sách nghĩa là gì vậy? Bạn có thể giải thích rõ hơn không?

sucu
10-12-2007, 23:58
a*x^4+b*x^3+c*x^2+d*x+e=0
nghiem thu nhat:
-1/4*b/a+1/12*3^(1/2)/a*(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)+1/12/a*(18*b^2-48*c*a-6*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a+72/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a-288/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2-144/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*d*a^2-18/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b^3+72/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b*c*a)^(1/2)

sucu
10-12-2007, 23:59
nghiem thu 2:
-1/4*b/a+1/12*3^(1/2)/a*(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)-1/12/a*(18*b^2-48*c*a-6*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a+72/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a-288/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2-144/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*d*a^2-18/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b^3+72/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b*c*a)^(1/2)

sucu
11-12-2007, 00:00
nghiem thu 3:
-1/4*b/a-1/12*3^(1/2)/a*(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)+1/12/a*(18*b^2-48*c*a-6*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a+72/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a-288/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2+144/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*d*a^2+18/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b^3-72/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b*c*a)^(1/2)

sucu
11-12-2007, 00:01
nghiem thu 4:
-1/4*b/a-1/12*3^(1/2)/a*(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)-1/12/a*(18*b^2-48*c*a-6*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a+72/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a-288/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2+144/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*d*a^2+18/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b^3-72/(3*b^2-8*c*a+2*(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a-24/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*d*b*a+96/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*e*a^2+8/(-36*c*d*b-288*e*c*a+108*d^2*a+108*e*b^2+8*c^3+12*(18*d^2*b^2 *e*a+576*d*b*e^2*a^2-54*c*d^3*b*a-54*c*d*b^3*e-432*e*c*a^2*d^2-432*e^2*c*a*b^2-3*d^2*b^2*c^2+384*e^2*a^2*c^2-48*e*a*c^4+12*d^2*a*c^3+12*e*b^2*c^3-768*e^3*a^3+81*d^4*a^2+81*e^2*b^4+12*d^3*b^3+240*d *b*e*a*c^2)^(1/2))^(1/3)*a*c^2)^(1/2)*3^(1/2)*b*c*a)^(1/2)

sucu
11-12-2007, 00:06
Công thức chính xác 100% đấy. Copy/Paste là có thể chạy được.
Bà con thông cảm, phải tách ra nhiều pót vì dài quá :)

ngothuaan
11-12-2007, 00:40
Mình không hiểu từ mất sách nghĩa là gì vậy? Bạn có thể giải thích rõ hơn không?

chữ y kế chữ t.
Nhìn mấy dòng của secu thì rối mắt rồi :dontgetit

Untitled
13-12-2007, 15:48
Chậc, hem biết ai nghĩ ra dc đống này hả trời :D.

phuclun
13-12-2007, 16:42
Mình không hiểu từ mất sách nghĩa là gì vậy? Bạn có thể giải thích rõ hơn không?

Mình nhầm,đã sửa,cám ơn.

phuclun
13-12-2007, 16:43
ko biết bài của bạn sucu có đúng ko nữa.Kt đc chết liền.

mr_invincible
14-12-2007, 21:36
Mấy công thức của bạn sucu kinh khủng thật đấy, nhìn hoa hết cả mắt. Không hiểu bạn tìm đâu ra vậy?