We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
42
2
avatar+153 

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
avatar
0

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

 Nov 21, 2019
 #2
avatar+153 
-1

No, but the answer is to be a fraction so 0 is wrong.

AoPS.Morrisville  Nov 22, 2019

7 Online Users

avatar