Difference between revisions of "2014 AIME I Problems/Problem 6"

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== Problem 6 ==
 
== Problem 6 ==
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The graphs <math>y=3(x-h)^2+j</math> and <math>y=2(x-h)^2+k</math> have y-intercepts of <math>2013</math> and <math>2014</math>, respectively, and each graph has two positive integer x-intercepts. Find <math>h</math>.
  
 
== Solution ==
 
== Solution ==

Revision as of 18:36, 14 March 2014

Problem 6

The graphs $y=3(x-h)^2+j$ and $y=2(x-h)^2+k$ have y-intercepts of $2013$ and $2014$, respectively, and each graph has two positive integer x-intercepts. Find $h$.

Solution