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Getting Squared With 1 And 16 (Posted on 2007-09-01)

Determine all possible integer pairs (p, q) that satisfy:

(p² – q²)² = 1+ 16q

See The Solution Submitted by K Sengupta

Rating: 3.6667 (3 votes)

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

re: some general solutions

| Comment 3 of 5 |

(In reply to some general solutions by Daniel)

The equation that Daniel opens with is in more conventional notation (possibly not available to him, or he was not aware):
(p²-q²)²= (p-q)² *(p+q)²

I was seeing this as:
(p²-q²)²= [(p-q)(p+q)]²

Daniel has given me a better understanding of how the value of 'p' functions, or at an alternative outlook on it.

Posted by brianjn on 2007-09-02 10:53:42

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