prove that a^2 +b^2 = 3 (c^2 +d^2)

i know that 3 l a^2 +b^2

then can i say that 3 l a^2 and 3 l b^2?

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- Apr 29th 2012, 03:07 AMalexandrabel90homogeneous integer equation
prove that a^2 +b^2 = 3 (c^2 +d^2)

i know that 3 l a^2 +b^2

then can i say that 3 l a^2 and 3 l b^2? - Apr 29th 2012, 05:36 AMigniteRe: homogeneous integer equation
Yes,you can actually.

Any square either leaves a remainder 0 or 1 when divided by 3 (**never 2**).So only possibility in this case is both leave remainder 0 when divided by 3.