If a,b,c are complex numbers satisfying the system of equations above, find the value of a4+b4+c4.
Note: I found the problem in my Book. See: "Ayo Raih Medali Emas Olimpiade Matematika" (English: Let's Get A Gold Medal in Mathematics Olympiad) by: Dr. Khow Yao Tung, M. Sc. Ed, MEd.
Your answer seems reasonable.
Find out if you're right!