All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Reduce to a lower degree (Posted on 2021-03-19) Difficulty: 2 of 5
Let P(x) and Q(x) be (monic) polynomials with real coefficients (the first coefficient being equal to 1), and degP(x)=degQ(x)=10.

Prove that if the equation P(x)=Q(x) has no real solutions, then P(x+1)=Q(x-1) has a real solution.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionJer2021-03-20 12:01:27
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information