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Expression and Perfect Square 2 (Posted on 2015-12-25) |
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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
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Submitted by K Sengupta
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Rating: 3.0000 (2 votes)
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