perplexus.info :: Just Math : Diophantine quickie II

Diophantine quickie II (Posted on 2011-09-09)

Each of a, b, c, d, e and f is a positive integer satisfying this system of equations:

a^-2 + b^-2 + c^-2 + d^-2= e^-2, and:

1/a+ 1/b+ 1/c+ 1/d= f^-2

Determine the smallest value of f. What are the next three smallest values of f?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: full solution

Comment 5 of 5 |

(In reply to full solution by Daniel)

Ty, Daniel.

I confirm having incorporated your analytic methodology in my official solution.

Posted by K Sengupta on 2023-01-11 23:08:22

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