Home Competitions CAPS 2016 Problem 4
Find all quadruplets ( a , b , c , d ) (a, b, c, d) ( a , b , c , d ) ( a + b ) ( a 2 + b 2 ) = ( c + d ) ( c 2 + d 2 ) (a + b)(a^2 + b^2) = (c + d)(c^2 + d^2) ( a + b ) ( a 2 + b 2 ) = ( c + d ) ( c 2 + d 2 ) ( a + c ) ( a 2 + c 2 ) = ( b + d ) ( b 2 + d 2 ) (a + c)(a^2 + c^2) = (b + d)(b^2 + d^2) ( a + c ) ( a 2 + c 2 ) = ( b + d ) ( b 2 + d 2 ) ( a + d ) ( a 2 + d 2 ) = ( b + c ) ( b 2 + c 2 ) (a + d)(a^2 + d^2) = (b + c)(b^2 + c^2) ( a + d ) ( a 2 + d 2 ) = ( b + c ) ( b 2 + c 2 )
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