All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
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    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: computer exploration (possible spoiler) -- two more squares | Comment 2 of 5 |
(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 (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information