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$\ \frac{4x^2}{\Bigl(1-\sqrt{\ 1\ +2x}\Bigr)^2} < 2x+9$

... IMO-1960

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    a nice and simple inequality (+1)2012-10-23
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    I've added [tag:contest-math] tag, since you wrote that it is from IMO. I don't think that [tag:elementary-number-theory] tag is a good fit for this question.2012-10-23

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