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Topic: About a diophante equation x^2+y^2=a^2+b^2
Replies: 5   Last Post: Oct 7, 2010 2:51 PM

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wheretogo

Posts: 5
Registered: 10/7/10
Re: About a diophante equation x^2+y^2=a^2+b^2
Posted: Oct 7, 2010 11:02 AM
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why I read in http://mathworld.wolfram.com/DiophantineEquation2ndPowers.html
Parametric solutions to the 2.2.2 equation
A^2+B^2=C^2+D^2
are known (Dickson 2005; Guy 1994, p. 140). The number of solutions are given by the sum of squares function r_2(n)

Please tell me where its proof is


Beside, I have a exercise:
Find the general rational solution of the equation x^2 + y^2 = a^2 + b^2, where a and b are given rational numbers.
Can you solve it for me?



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