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Further Arithmetic Integers (Posted on 2006-06-27) Difficulty: 3 of 5
Consider three positive integers x < y < z in arithmetic sequence, and determine all possible solutions of: x4 + y4 = z4 - 64

See The Solution Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

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mathematica solution (spoiler) | Comment 5 of 10 |
gotta love mathematica's reduce function


how I got the Fnc function is I used z=y+(y-x)=2y-x and set all equal to zero

in a matter of miliseconds it pops out


  Posted by Daniel on 2006-06-28 06:03:32
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