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Bosnia and Herzegovina TST 2000 Day 1 Problem 1

Source: Bosnia and Herzegovina Team Selection Test 2000

September 19, 2018
algebrarootsequation

Problem Statement

Find real roots x1x_1, x2x_2 of equation x555x+21=0x^5-55x+21=0, if we know x1x2=1x_1\cdot x_2=1