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Bosnia and Herzegovina TST 1997 Day 1 Problem 1

Source: Bosnia and Herzegovina Team Selection Test 1997

September 20, 2018
algebrasystem of equations

Problem Statement

Solve system of equation 8(x3+y3+z3)=738(x^3+y^3+z^3)=73 2(x2+y2+z2)=3(xy+yz+zx)2(x^2+y^2+z^2)=3(xy+yz+zx) xyz=1xyz=1 in set R3\mathbb{R}^3
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