Home > Just Math
| Real Product to Integer (Posted on 2009-09-12) |
 |
Determine all possible nonzero real R satisfying R = [R]*{R}, such that 5*{R} - [R]/4 is an integer.
Note: [x] is the greatest integer ≤ x, and {x} = x - [x].
|
|
Submitted by K Sengupta
|
|
Rating: 5.0000 (1 votes)
|
|
|
Solution:
|
(Hide)
|
R = -3.2 is the only possible solution.
For an explanation, refer to the analytical solution submitted by Harry in this location.
|
Comments: (
You must be logged in to post comments.)
|
|
Please log in:
Forums (1)
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:
|
