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Expression and Perfect Square 2 (Posted on 2015-12-25) Difficulty: 3 of 5
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.)
  Subject Author Date
Some Thoughtsre(2): Two small solutions and a conjecturebroll2015-12-28 04:10:19
Some Thoughtsre: Two small solutions and a conjectureBrian Smith2015-12-26 13:50:47
Some ThoughtsTwo small solutions and a conjectureBrian Smith2015-12-25 11:42:52
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