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(488) 1

Part of 1996 Tournament Of Towns

Problems(1)

TOT 488 1996 Spring J A1 a^2 + b^2 - ab = c^2

Source:

8/16/2024
Prove that if a,ba, b and cc are positive numbers such that a2+b2−ab=c2,a^2 + b^2 - ab = c^2, then (a−c)(b−c)<0.(a - c)(b - c) < 0.
(A Egorov)
inequalitiesalgebra