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Posers and Puzzles

Posers and Puzzles

  1. 16 Aug '09 10:36
    1. Find as many triples a,b,c of positive integers as you can, that satisfy the inequalities 0 < a^2+b^2-abc <= c. You may use a computer

    2. Now look at the value of a^2+b^2-abc in those triples.

    3. Conjecture.

    4. Prove or disprove
  2. 16 Aug '09 11:35
    1. did that, there a lots and lots
    2. did that
    3. only square numbers
    4. Ummmm, I'll think about that
  3. 17 Aug '09 14:31
    Can you do this with basic math knowledge? I have no clue what to do.
  4. 17 Aug '09 20:27
    Originally posted by crazyblue
    Can you do this with basic math knowledge? I have no clue what to do.
    Yes. Nothing more than basic algebra is needed.
  5. 18 Aug '09 05:39
    What do you mean by triples?
  6. 18 Aug '09 10:02
    Originally posted by CM123
    What do you mean by triples?
    A triple of numbers is simply three numbers