solving system of equations [newbie]



What is wrong with following sequence of commands?

eq1:x1=(-b+sqrt(b^2-4*c))/2;
eq2:x2=(-b-sqrt(b^2-4*c))/2;
solut:solve([eq1,eq2],[b,c]);

I expected to see b=-(x1+x2)/2 ... but I just get []

hugo