Given that a, b, c, and d are positive integers, determine analytically if it is possible that 6(6a²+ 3b² + c²) = 5d².

(In reply to D2? by Richard)

I have no idea if this helps, but looking at it quickly it seems that:

• c = 3k, where k is an integer
• d = 6n, where n is an integer

I'm not sure if that is correct and/or useful information, I'll try to work it out on paper and see where it goes from there...


*Edited to fix a mistake I'd made...I haven't had a shot to really delve into this one, but I'm surprised there are no other comments...is it really that hard?

Edited on November 30, 2006, 5:28 pm

Posted by tomarken on 2006-11-29 21:57:53