Consider three positive integers x < y < z in arithmetic sequence, and determine all possible solutions of:
x4 + y4 = z4 - 64
(In reply to
re: Solution by Yosippavar)
For example the equation for y = 8:
65 = k*(k^2+64)
k must be a factor of 65
k k^2+64 k*(k^2+64)
--------------------------
1 65 65
5 89 445
13 233 3029
65 4289 278785
So you see that k = 1 is only valid factor.
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Posted by Bractals
on 2006-06-28 10:53:32 |
re(2): Solution
