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HMMT 2015 Algebra #5 본문

HMMT/2015

HMMT 2015 Algebra #5

수악중독 2015. 3. 15. 14:27

Let a,  b,  ca, \;b, \;c be positive real numbers such that a+b+c=10,  ab+bc+ca=25a+b+c=10, \; ab+bc+ca=25. Let m= min{ab,  bc,  ca}m={\rm min} \{ab, \; bc, \; ca\}. Find the largest possible value of mm.