ax^2+bx+c=0 则x1+x2=-b/a x1*x2=c/a
1/x1+1/x2=(x1+x2)/(x1*x2) x1^2+x2^2=(x1+x2)^2-2*x1*x2
(x1-x2)^2=(x1+x2)^2-4*x1*x2
所以可求得上面题的结果
1.x1+x2=3 x1*x2=-18 1/x1+1/x2=-1/6 x1^2+x2^2=45 (x1-x2)^2=81
2.x1+x2=-3 x1*x2=-5 1/x1+1/x2=3/5 x1^2+x2^2=19 (x1-x2)^2=29
3.x1+x2=4 x1*x2=-7 1/x1+1/x2=-4/7 x1^2+x2^2=30 (x1-x2)^2=44
4.这个貌似题抄错了吧
5.x1+x2=2 x1*x2=-3 1/x1+1/x2=-2/3 x1^2+x2^2=10 (x1-x2)^2=16
希望对你能够有所帮助.