Count the pairs

Geometry Level 4

( x + 3 ) 2 + ( y − 4 ) 2 + ( x − 7 ) 2 + ( y + 6 ) 2 ≤ 10 2 \sqrt{(x+3)^2 + (y-4)^2} + \sqrt{(x-7)^2 + (y+6)^2} \leq 10\sqrt2

How many pairs of integers ( x , y ) (x,y) satisfy the inequality above?


The answer is 11.

Anca Baltariga by Anca Baltariga , 26, Romania

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Anca Baltariga
Feb 7, 2016

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