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?

(In reply to full solution by Daniel)

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Posted by Sonja412 on 2021-09-14 02:27:57