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

Home > Just Math
Rooting for Roots (Posted on 2015-02-04) Difficulty: 3 of 5
Find the possible range of a real constant m such that the equation:
x2 - 2*x*floor(x) + x = m has at least two non-negative roots.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: solution Comment 2 of 2 |
(In reply to solution by Charlie)

A minor error:

At x=2 the LHS is -2.

2^2 - 2*2*2 + 2 = -2

M-2 has no solutions.
But nothing of your solution changes.

  Posted by Jer on 2015-02-05 09:26:25
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information