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China Second Round Olympiad 2023 Test 1 Q 6

Source: Sep 10, 2023

September 10, 2023
inequalities proposedalgebraequationChinainequalities

Problem Statement

Let a,b,ca,b,c be the lengths of the three sides of a triangle and a,ba,b be the two roots of the equation ax2−bx+c=0ax^2-bx+c=0 (a<b). (a<b) . Find the value range of a+b−c. a+b-c .
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