HMMT 二月 2000 · 团队赛 · 第 6 题
HMMT February 2000 — Team Round — Problem 6
题目详情
英文原题
- If is a ro ot of x x 1 = 0, ompute the v alue of + 2 3 3 +
4 3 4
4 + 2 4 6 17.
解析
英文解析
- Sin e 1 = 0, then = + . So, we an redu e our expression to
8 6 5 4 3 2 8 6 5
3 3 3 + 4 + 2 4 6 17. Also, 3 3 3 = 0, so our
4 3 2 4 2 0
expression redu es to 4 + 2 4 6 17. Also, 4 4 4 , so our
3 3
expression redu es to 2 2 17. No w, 2 2 2 = 0, so our expression redu esto -15 , which is our answ er.