perplexus.info :: Numbers : Diophantine And Almost Fermat

Diophantine And Almost Fermat (Posted on 2007-02-21)

Consider three positive integers x< y< z in arithmetic sequence.

Determine analytically all possible solutions of each of the following equations:

(I) x³ + z³ = y³ + 10yz

(II) x³ + y³ = z³ - 2, with y< 116.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (1 votes)

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Subject	Author	Date
Solution - Equation I	hoodat	2007-02-28 13:33:54
Separate equations	Gamer	2007-02-27 01:56:39
possible solutions	hoodat	2007-02-26 18:20:24
Hint	K Sengupta	2007-02-22 13:51:46

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