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HMMT 二月 2008 · GEN2 赛 · 第 7 题

HMMT February 2008 — GEN2 Round — Problem 7

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 5 ] A root of unity is a complex number that is a solution to z = 1 for some positive integer n . 2 Determine the number of roots of unity that are also roots of z + az + b = 0 for some integers a and b .
解析
  1. [ 5 ] A root of unity is a complex number that is a solution to z = 1 for some positive integer n . 2 Determine the number of roots of unity that are also roots of z + az + b = 0 for some integers a and b . Answer: 8 Same as Algebra Test problem 6.