Home > Just Math
Expression and Perfect Square 2 (Posted on 20151225) 

Each of A,B and C is a positive integer such that each of the expressions A*B+A+B, B*C+B+C, C*A+C+A, A*B+C and A*C+B is a perfect square.
(I) Find the smallest value of A+B+C.
(II) Does there exist an infinity of triplets (A,B,C) satisfying the given conditions?
Give reasons for your answer.
No Solution Yet

Submitted by K Sengupta

Rating: 3.0000 (2 votes)


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


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:
