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## HMMT 2015 Algebra #5 본문

HMMT/2015

### HMMT 2015 Algebra #5

수악중독 2015. 3. 15. 14:27

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