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Let \(x\) and \(y\) be real numbers such that \(2(x^2 + y^2) = x + y \). Find the maximum value of \(x-y\).

 Nov 21, 2019
 #1
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By symmetry, you get the maximum when x = y = 1/2, so the maximum value is x - y = 0.

 Nov 21, 2019
 #2
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No, but the answer is to be a fraction so 0 is wrong.

AoPS.Morrisville  Nov 22, 2019

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