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Kosovo Mathematical Olympiad 2016 TST , Problem 3

Source:

January 9, 2017
quadratic equation

Problem Statement

If quadratic equations x2+ax+b=0x^2+ax+b=0 and x2+px+q=0x^2+px+q=0 share one similar root then find quadratic equation for which has roots of other roots of both quadratic equations .
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