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\sqrt{x - a} + \sqrt{x - b} = \sqrt{x - c }

Source: Polish MO second round 1954 p4

August 29, 2024
algebra

Problem Statement

Give the conditions under which the equation x−a+x−b=x−c \sqrt{x - a} + \sqrt{x - b} = \sqrt{x - c } has roots, assuming that the numbers a a , b b , c c are pairs of differences
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