若x>1/4,则x+1/(4x-1)的最小值是?

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x+1/(4x-1)
=(1/4)(4x-1)+1/(4x-1)+1/4
由均值不等式,得
(1/4)(4x-1)=1/(4x-1)时,即当x=(√5+1)/4时,(1/4)(4x-1)+1/(4x-1)有最小值3/2

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