Author Topic: USAMO Problem  (Read 3257 times)

0 Members and 2 Guests are viewing this topic.

Offline Ender

  • Moderator
  • Hero Member
  • *****
  • Posts: 2390
    • View Profile
USAMO Problem
« on: July 11, 2007, 07:45:21 pm »
Prove that the zeros of x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0 cannot all be real if 2a^2 < 5b.

Fun problem :)