Difference between revisions of "AoPS Wiki:Problem of the Day/September 6, 2011"

 
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Find the smallest possible value of <math>a</math>.
 
Find the smallest possible value of <math>a</math>.
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<noinclude>[[category:Problem of the Day]]</noinclude>

Latest revision as of 08:23, 7 September 2011

The integers $a,b,c,d$ satisfy $a > b > c > d$ and \[a + b + c + d = 2048 \ \textrm{ and }\ a^2 - b^2 + c^2 - d^2 = 2048.\] Find the smallest possible value of $a$.