(a+b+c)^2
=a^2+b^2+c^2+2ab+2ac+2bc
=1
ab+ac+bc=-1/2
(a+b+c)^3
=a^3+b^3+c^3+3(ab+ac+bc)(a+b+c)-3abc
=1
abc=1/6
a,b,c
是方程xxx-xx-(1/2)x-1/6=0
三个根
xxx=xx+(1/2)x+1/6
xxxx=xxx+(1/2)xx+(1/6)x
http://baike.baidu.com/view/1315076.html?wtp=tt
解三次方程!!!!求a,b,c
a^4+b^4+c^4=aaa+(1/2)aa+(1/6)a+bbb+(1/2)bb+(1/6)b+ccc+(1/2)cc+(1/6)c=3+1+1/6=25/6