Difference between revisions of "2007 iTest Problems/Problem 32"
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Revision as of 22:54, 7 October 2014
Problem
When a rectangle frames a parabola such that a side of the rectangle is parallel to the parabola's axis of symmetry, the parabola divides the rectangle into regions whose areas are in the ratio to . How many integer values of k are there such that and the area between the parabola and the -axis is an integer?