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x^2 + ax + b = x^2 + bx + a = 0 (V Soros Olympiad 1998-99 Round 3 9.1)

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May 25, 2024
algebra

Problem Statement

It is known that each of the equations x2+ax+b=0x^2 + ax + b = 0 and x2+bx+a=0x^2 + bx + a = 0 has two different roots and these four roots form an arithmetic progression in some order. Find aa and bb.
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