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HMMT 二月 2007 · GEN1 赛 · 第 10 题

HMMT February 2007 — GEN1 Round — Problem 10

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 7 ] α , α , α , and α are the complex roots of the equation x + 2 x + 2 = 0. Determine the unordered
    1 2 3 4
    { α α + α α , α α + α α , α α + α α } .set
    1 2 3 4 1 3 2 4 1 4 2 3 1
解析

英文解析

  1. [ 7 ] α , α , α , and α are the complex roots of the equation x + 2 x + 2 = 0. Determine the unordered
    1 2 3 4
    { α α + α α , α α + α α , α α + α α } .set
    1 2 3 4 1 3 2 4 1 4 2 3
    √
    Answer: { 1 ± 5 , − 2 } . Same as Algebra #9. 2