perplexus.info :: Just Math : Strange Equation

Strange Equation (Posted on 2013-03-11)

Solve the equation
(a^2,b^2)+(a,bc)+(b,ac)+(c,ab)=199. in positive integers.
(Here (x,y) denotes the greatest common divisor of x and y.)

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Equation

| Comment 7 of 10 |

Lets Say

(a,b) = X

(a,c) = Y

(b,c) = Z

then equation is X^2+XY/(X,Y)+XZ/(X,Z)+YZ/(Y,Z)=199

Still no solution so far.

Posted by Salil on 2013-03-19 06:30:41

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info