Difference between revisions of "2010 AMC 10B Problems/Problem 13"

Revision as of 20:03, 24 January 2011

What is the sum of all the solutions of $x = \left|2x-|60-2x|\right|$ ?

$\mathrm{(A)}\ 32 \qquad \mathrm{(B)}\ 60 \qquad \mathrm{(C)}\ 92 \qquad \mathrm{(D)}\ 120 \qquad \mathrm{(E)}\ 124$

Case 1: $2x-|60-2x|=x$

Revision as of 20:02, 24 January 2011 (view source) Jexmudder (talk \| contribs) (→‎Solution) ← Older edit		Revision as of 20:03, 24 January 2011 (view source) Jexmudder (talk \| contribs) Newer edit →
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	== Solution ==		== Solution ==
−	<math>~~Case 1:~~ 2x-\|60-2x\|=x</math>	+	'''Case 1''': <math>2x-\|60-2x\|=x</math>