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2007 iTest Problems/Problem 55

Revision as of 03:54, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Let <math>T=\text{TNFTPP}</math>, and let <math>R=T-914</math>. Let <math>x</math> be the smallest real solution of <math>3x^2+Rx+R=90x\sqrt{x+1}</math>. Find the v...")
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Problem

Let $T=\text{TNFTPP}$, and let $R=T-914$. Let $x$ be the smallest real solution of $3x^2+Rx+R=90x\sqrt{x+1}$. Find the value of $\lfloor x\rfloor$.

Solution

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