A and B are points on the graph y=x2
C and D are points on the graph y=-x2
and ABCD is a square.
Find all possible x-coordinates of point A
(In reply to re: computer exploration (possible spoiler) -- two more squares
There are 4 solutions. Charlie has found 3 via some hard crunching but there is a not-so-difficult analytic solution.
The two parabolas are rotations of each about the origin. This puts some limitations on the square.
Posted by Jer
on 2010-02-26 15:01:36