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2007 iTest Problems/Problem 40

Revision as of 21:58, 7 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Let <math>S</math> be the sum of all <math>x</math> such that <math>1\leq x\leq 99</math> and <math>\{x^2\}=\{x\}^2</math>. Compute <math>\lfloor S\rfloor</math>. ...")

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Problem

Let $S$ be the sum of all $x$ such that $1\leq x\leq 99$ and $\{x^2\}=\{x\}^2$ . Compute $\lfloor S\rfloor$ .

Solution

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