Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 3"

Revision as of 18:49, 19 June 2008

A function $f(x)$ is defined for all real numbers $x$ . For all non-zero values $x$ , we have

$2f\left(x\right) + f\left(\frac{1}{x}\right) = 5x + 4$

Let $S$ denote the sum of all of the values of $x$ for which $f(x) = 2004$ . Compute the integer nearest to $S$ .

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Revision as of 18:48, 19 June 2008 (view source) 1=2 (talk \| contribs) m (Mock AIME 3 Pre 2005/Problem 3 moved to Mock AIME 3 Pre 2005 Problems/Problem 3: That is the right title.) ← Older edit		Revision as of 18:49, 19 June 2008 (view source) 1=2 (talk \| contribs) (→‎See also) Newer edit →
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	==See also==		==See also==
		+	{{Mock AIME box\|year=Pre 2005\|n=3\|num-b=2\|num-a=4}}

Mock AIME 3 Pre 2005 (Problems, Source)
Preceded by Problem 2	Followed by Problem 4
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15