suma directa y ecuacions cuadrátiques

x^{2}+y^{2} = k
(1/2)·( x[+]y )^{2} = k
( x[+]y )^{2} = 2k
( x[+]y ) = 2^{(1/2)}·k^{(1/2)}


x = (1/2^{(1/2)})·k^{(1/2)}
y = (1/2^{(1/2)})·k^{(1/2)}


x^{2}+y^{2} = (x+y)
(1/2)·( x[+]y )^{2} = (x+y)
( x[+]y )^{2} = 2·(x+y)
( x[+]y ) = 2^{(1/2)}·(x+y)^{(1/2)}


x = 1
y = 1