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HMMT 二月 2016 · 冲刺赛 · 第 1 题

HMMT February 2016 — Guts Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 5 ] Let x and y be complex numbers such that x + y = 20 and x + y = 15. Compute | x − y | .
解析
  1. [ 5 ] Let x and y be complex numbers such that x + y = 20 and x + y = 15. Compute | x − y | . Proposed by: Evan Chen √ Answer: 10 √ 2 2 2 2 2 We have ( x − y ) + ( x + y ) = 2( x + y ), so ( x − y ) = 10, hence | x − y | = 10.