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Proof positive: squares of integers (Posted on 2007-04-07) Difficulty: 2 of 5
If p and q are positive integers that satisfy 3p+p=4q+q, prove that p-q, 3p+3q+1 and 4p+4q+1 are squares of integers.

See The Solution Submitted by K Sengupta    
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Hints/Tips Hint | Comment 1 of 3

Start by proving that:

(p-q)(3p+3q+1)= q^2 (why?); and:

(p-q)(4p+4q+1) = p^2 (why?)

Edited on April 9, 2007, 12:13 pm
  Posted by K Sengupta on 2007-04-09 05:55:15

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