olymmath

CMOQR 2018 Problem 3

    Let ABCABC be a triangle with AB=BCAB = BC . Prove that △ABC\triangle ABC is an obtuse triangle if and only if the equation Ax2+Bx+C=0Ax^2 + Bx + C = 0 has two distinct real roots, where AA , BB , CC , are the angles in radians.

    Dataset text AI-MO AoPS. Quoted with source.

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