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)

Comments: ( Back to comment list | You must be logged in to post comments.)

Separate equations

| Comment 3 of 4 |

They are just two similar equations with separate solutions. You should post on how you got those solutions, and why they are the only possible solutions.

Posted by Gamer on 2007-02-27 01:56:39

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