Art of Problem Solving

2014 AIME I Problems/Problem 6: Difference between revisions

Mathmaster2012 (talk | contribs)
Created page with "== Problem 6 == == Solution =="
 
1915933 (talk | contribs)
Line 1: Line 1:
== Problem 6 ==
== Problem 6 ==
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