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Squares joining quadratics (Posted on 2010-02-24) Difficulty: 3 of 5
A and B are points on the graph y=x2+8x+7
C and D are points on the graph y=-x2+8x-7
and ABCD is a square.

Find all possible x-coordinates of point A

See The Solution Submitted by Jer    
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re(2): computer exploration (there is a 4th. a hint) | Comment 3 of 5 |
(In reply to re: computer exploration (possible spoiler) -- two more squares by Charlie)

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

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