#### Posers and Puzzles

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 π

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

3. Conjecture.

4. Prove or disprove π

- Joined
- 29 Apr '05
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- 827

1. did that, there a lots and lots

2. did that

3. only square numbers

4. Ummmm, I'll think about that π

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- 29 Apr '05
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Can you do this with basic math knowledge? I have no clue what to do. π

*Originally posted by crazyblue*

**Can you do this with basic math knowledge? I have no clue what to do. π**

Yes. Nothing more than basic algebra is needed.

- Joined
- 29 Jul '09
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What do you mean by triples?

*Originally posted by CM123*

**What do you mean by triples?**

A triple of numbers is simply three numbersπ