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1/(x - a) +1/(x - b)+ 1/(x - c)= 0

Source: Polish MO Finals 1953 p1

August 29, 2024
algebrapolynomial

Problem Statement

Test whether equation 1x−a+1x−b+1x−c=0,\frac{1}{x - a} + \frac{1}{x - b} + \frac{1}{x - c} = 0, where a a , b b , c c denote the given real numbers, has real roots.
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