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Completing a triplet (Posted on 2018-02-24) Difficulty: 2 of 5
Given a^2+15226=c^2,

How many solutions (a,c) are there such that both numbers are positive integers?

Please comment upon the unexpected result.

  Submitted by Ady TZIDON    
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Solution: (Hide)
NO integer solutions:
c+a and c-a must be of the same parity, i.e. both odd or both even

see my comment - spoiler

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/Tipsgeneralized solution spoilerAdy TZIDON2018-02-28 05:28:07
re(3): "as expected"armando2018-02-25 03:36:29
Hints/Tipsre(2): " as expected"Ady TZIDON2018-02-24 17:07:14
re: computer findingsarmando2018-02-24 16:38:28
Some Thoughtscomputer findingsCharlie2018-02-24 14:05:52
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