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2016 and Perfect Square Puzzle (Posted on 2016-06-22) Difficulty: 3 of 5
Determine all possible positive integer solutions to this system of equations:
A+B = 2016, and:
A2+B is a perfect square

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
{A, B} = {181, 1835}. If negative integers are allowed, then {A, B) = {2196, -180} is also a valid solution- as:
• 181+1835=2016, and 181^2+1835=186^2
• (-180)+2196=2016, and (-180)^2+2196=186^2

For an explanation, refer to the analytic solution submitted by armando in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Man waybroll2016-06-24 04:16:32
re: Man waySteve Herman2016-06-23 12:53:55
Man wayarmando2016-06-22 17:08:37
Solutioncomputer solutionCharlie2016-06-22 16:15:15
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