perplexus.info :: Just Math : More Arithmetic Integers

More Arithmetic Integers (Posted on 2007-01-16)

Consider three positive integers x < y < z in arithmetic sequence, and determine analytically all possible solutions of each of the following equations:

(I) x² + y² = z² - 135

(II) x² + 3y² = z² - 105

(III) x² +y² = z² - xyz

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re(2): Solution

Comment 3 of 3 |

(In reply to re: Solution by K Sengupta)

Oh, thanks, that was my mistake! I skipped over the word "integers". Silly me.

Posted by TamTam on 2007-01-17 13:49:43

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