Make {(x^2 + xy + y^2), (x^2 – xz + z^2), (y^2 – yz + z^2)} squares … Part 3

 
 

Find distinct integers   x, \; y, \; z   to make the three expressions squares

x^2 \; + \; x \, y \; + \; y^2
x^2 \; - \; x \, z \; + \; z^2
y^2 \; - \; y \, z \; + \; z^2

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Advertisements

About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s