The teacher will be very surprised to see your correct solution 😉
a*p^2 + b*p + c = 0
D = b^2 - 4 * a * c =
(14)^2 - 4 * (121) * (2) = -772
p1 = (-b + sqrt(D)) / (2*a)
p2 = (-b - sqrt(D)) / (2*a)
_____ 7 I*\/ 193 p1 = - --- - --------- 121 121
_____ 7 I*\/ 193 p2 = - --- + --------- 121 121
p2 = -7/121 + sqrt(193)*i/121
sum
_____ _____ 7 I*\/ 193 7 I*\/ 193 - --- - --------- + - --- + --------- 121 121 121 121
=
-14 ---- 121
product
/ _____\ / _____\ | 7 I*\/ 193 | | 7 I*\/ 193 | |- --- - ---------|*|- --- + ---------| \ 121 121 / \ 121 121 /
=
2/121
2/121
p1 = -0.0578512396694215 + 0.114813586689668*i
p2 = -0.0578512396694215 - 0.114813586689668*i
p2 = -0.0578512396694215 - 0.114813586689668*i