MathCastle
ChallengeMedium

Challenge · Medium problem

Real numbers a,b,c,da,b,c,d satisfy a+b+c+d=10a+b+c+d=10 and a2+b2+c2+d2=30a^{2}+b^{2}+c^{2}+d^{2}=30. Find the maximum possible value of dd.

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