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Bosnia and Herzegovina TST 1998 Day 2 Problem 2

Source: Bosnia and Herzegovina Team Selection Test 1998

September 20, 2018
number theoryInteger

Problem Statement

Let aa, bb and cc be integers such that bc+ad=1bc+ad=1 ac+2bd=1ac+2bd=1 Prove that a2+c2=2b2+2d2a^2+c^2=2b^2+2d^2
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