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Bosnia and Herzegovina TST 2001 Day 1 Problem 2

Source: Bosnia and Herzegovina Team Selection Test 2001

September 19, 2018
positive integernumber theoryequation

Problem Statement

For positive integers xx, yy and zz holds 1x2+1y2=1z2\frac{1}{x^2}+\frac{1}{y^2}=\frac{1}{z^2}. Prove that xyz≥3600xyz\geq 3600
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