수학동아 - 폴리매스

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함께 풀고 싶은 문제

깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다

[세상을 바꿀 문제] 문제

Scubed 2021.07.10 05:52 조회 443

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

(1)

$(a_1-a_2)(a_1-a_3)(a_1-a_4)+(a_2-a_1)(a_2-a_3)(a_2-a_4)+(a_3-a_1)(a_3-a_2)(a_3-a_4)+(a_4-a_1)(a_4-a_2)(a_4-a_3)\geq 0$

을 만족시키는 a1,a2,a3,a4의 조건을 a1+a2+a3+a4, a1a2+...+a3a4, a1a2a3+...+a2a3a4, a1a2a3a4를 이용하여 나타내시오.

(2) 위를 일반화하시오(???)

소문제 하나당 해결 한개요...

이전글 글 올리는 것 안 된 다는 것 압니다. 하지만 너무 좋은 문제가 생각나서 한 번 올려보겠습니다.

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