Question 37
Let $a$ be a complex number such that
$a^5 + a + 1 = 0.$
What values can the expression $a^2 (a - 1)$ take on?
$a^5 + a + 1 = 0.$
What values can the expression $a^2 (a - 1)$ take on?
MathNet 2013 Question 37
Math Olympiad Vault · MathNet 2013