On 2013-05-18, Tom Del Rosso wrote:

Martin Brown wrote:

given a^2 + b^2 = c^2 where a,b,c are integers

can you construct A^2 + B^2 = 2c^2 and state A, B

A=B=0

But I get the impression that's not what you had in mind?

if A=a and B=b that is the only integer solution
(other solutions exist on the comples plane eg: A=iB, also B=iA)

theres a few more solutions if you allow

a =/= A and b =/= B

you get A=B=c (and possibly other solutions?)

but this is usenet and the mixed case may be a typographic error.

--
š‚šƒ 100% natural

--- news://freenews.netfront.net/ - complaints: ---