MathDB
2021-22 Winter Team #3

Source:

April 17, 2022
algebra

Problem Statement

Suppose a,b,ca, b, c are complex numbers with a+b+c=0a + b + c = 0, a2+b2+c2=0a^2 + b^2 + c^2 = 0, and ∣a∣,∣b∣,∣c∣≤5|a|,|b|,|c| \le 5. Suppose further at least one of a,b,ca, b, c have real and imaginary parts that are both integers. Find the number of possibilities for such ordered triples (a,b,c)(a, b, c).
Back to ProblemsView on AoPS