1. Joined
    25 Aug '06
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    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 πŸ™‚

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

    3. Conjecture.

    4. Prove or disprove πŸ™‚
  2. Joined
    29 Apr '05
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    827
    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 πŸ™‚
  3. Joined
    29 Apr '05
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    17 Aug '09 14:31
    Can you do this with basic math knowledge? I have no clue what to do. πŸ™‚
  4. Joined
    25 Aug '06
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    17 Aug '09 20:27
    Originally posted by crazyblue
    Can you do this with basic math knowledge? I have no clue what to do. πŸ™‚
    Yes. Nothing more than basic algebra is needed.
  5. Joined
    29 Jul '09
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    18 Aug '09 05:39
    What do you mean by triples?
  6. Joined
    25 Aug '06
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    18 Aug '09 10:02
    Originally posted by CM123
    What do you mean by triples?
    A triple of numbers is simply three numbersπŸ™‚
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