perplexus.info :: Just Math : Linear and Quadratic Puzzle

Linear and Quadratic Puzzle (Posted on 2015-06-18)

Determine all possible integers x, y and z such that:
x² + y² + z² = 2(yz + 1) and:
x + y + z = 4018

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

All possible solutions for (x,y,z) are:
(1,2008,2009) (1,2009,2008) (-1,2010,2009) (-1,2009,2010)
For an explanation, refer to the solution submitted b Jer in this location.
Jer has also submitted a generalized solution in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution / Generalization	Jer	2015-06-19 07:09:09
Solution	Jer	2015-06-18 12:33:08

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info