The roots of quadratic equation x2+9x+20=0 are −4 and −5 So, the possible roots of quadratic equation x2+bx+c=0 are according to given information
(x1,x2)=(−13,4),(3,4),(−13,−12)
∴ Possible values of b are 9,−7,25 and possible values of c are −52,12,156 therefore sum of all possible value of b and c is 9−7+25−52+12+156=143