SAT1000 - P527

Algebra Level 4

Given that a,bR,a+b=2,b>0a,b \in \mathbb R, a+b=2, b>0, then find the minimum value of 12a+ab\dfrac{1}{2|a|}+\dfrac{|a|}{b}.

Let MM be the minimum value. Submit 1000M\lfloor 1000M \rfloor.


Have a look at my problem set: SAT 1000 problems

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