perplexus.info :: Just Math : A Quintic Problem

A Quintic Problem (Posted on 2006-03-15)

Determine all possible integer solutions, whether positive or negative, to this equation:

5y⁴ + 2560y² = x⁵ - 65536

See The Solution Submitted by K Sengupta

Rating: 2.3333 (3 votes)

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Small steps

| Comment 5 of 7 |

Add 5*65536 to both sides to get 5y⁴ + 2560y²+ 5*65536 = x⁵ + 4*65536

which equals 5*(y²+ 256)² = x⁵ + 2^18

Posted by Gamer on 2006-03-15 23:41:04

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