perplexus.info :: Just Math : Squares joining quadratics

Home > Just Math

Squares joining quadratics (Posted on 2010-02-24)

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

Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: computer exploration (possible spoiler) -- two more squares

| Comment 2 of 6 |

(In reply to computer exploration (possible spoiler) by Charlie)

further exploration leads to:

        x                 y                  x                  y

square 2:
-7.75698117395826  5.11490754147675    7.75698117395826 -5.11490754147675
 5.11490754147675  7.75698117395826   -5.11490754147675 -7.75698117395826

square 3: 


-7.42722895523993  2.74589831163497    7.42722895523993 -2.74589831163497
 2.74589831163497  7.42722895523993   -2.74589831163497 -7.42722895523993

and again A can be any of the negative-x values

Edited on February 24, 2010, 6:28 pm

Posted by Charlie on 2010-02-24 18:26:20

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info