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Quadratic With A Difference (Posted on 2008-04-15) Difficulty: 2 of 5
Determine all possible integer pair(s) (C, D) that satisfy this equation:

C2 - 3CD = C - D

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Solution Not much to this one | Comment 2 of 5 |

There is only the trivial solution C=1, D=0.

Since C divides C-D, it follows that D is non-positive.

Similarly, C-3D divides C-D, so C-3D <= C - D, so that D is non-negative.

Since C^2 divides C, C must be 1.

Edited on April 15, 2008, 8:28 pm
  Posted by FrankM on 2008-04-15 13:59:13

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