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x^2+bx+c=0, arithm. progression (I Soros Olympiad 1994-95 R2 10.1)

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May 25, 2024
algebraArithmetic Progression

Problem Statement

The equation x2+bx+c=0x^2 + bx + c = 0 has two different roots x1x_1 and x2x_2. It is also known that the numbers bb, x1x_1, cc, x2x_2 in the indicated order form an arithmetic progression. Find the difference of this progression.