On 2013-05-19, Martin Brown wrote:
On 18/05/2013 23:10, 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?

I forgot to exclude a=b=0 in the problem statement
although we normally allowed that option as a first try

But there is another solution with a, b, A, B != 0

probably you should have said positive integers at the start.

anyway:

a,b,A,B

5,5 (and more variations on Pythogaras triangle hypotenuse)

1,7 and probably more like that too, certainly multiples of it.




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