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HMMT 十一月 2009 · 冲刺赛 · 第 25 题

HMMT November 2009 — Guts Round — Problem 25

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 14 ] Find all solutions to x + 2 x + 2 x + 2 x + 1 = 0 (including non-real solutions).
解析
  1. [ 14 ] Find all solutions to x + 2 x + 2 x + 2 x + 1 = 0 (including non-real solutions). 2 2 Answer: − 1 , i, − i We can factor the polynomial as ( x + 1) ( x + 1).