The sum of the roots = 6 The product of the roots = 2
So So
r+ s = 6 rs = 2
Square both sides 2rs = 4
r^2 + 2rs + s^2 = 36 -2rs = -4
r^2 + s^2 = 36 - 2rs -4rs = -8
(r - s)^2 =
r^2 - 2rs + s^2 =
[ r^2 + s^2 ] - 2rs =
[36 -2rs] - 2rs =
36 - 4rs =
36 - (-8) =
44