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Sorta pythagoric... (Posted on 2005-09-01) Difficulty: 3 of 5
If x, y and z are integers, 3x+4y=5z is satisfied for x=y=z=2.

Are there any other solutions?

See The Solution Submitted by e.g.    
Rating: 3.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Why?????????????? | Comment 5 of 16 |
(In reply to Why?????????????? by pcbouhid)

Sometimes it helps to know the computational answer when trying to figure out the analytical one.

Sometimes figuring out how to solve it computationally can break analytical roadblocks.

Sometimes, and quite often in my case, I just flat reach the limit of what I can accomplish analytically.  That's why I enjoy reading others' solutions.  I've already learned a great deal.

I know it's a topic of great debate here on perplexus, but there are good reasons for being able to solve a problem both ways.  It's often quite difficult to solve certain problems efficiently via computer.  There's often as much smarts needed to do that as there is to solve it analytically.

  Posted by Bob Smith on 2005-09-02 00:16:58

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