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Roots of an equation

Source: Vietnam NMO 1963 Problem 2

February 2, 2009
quadraticsalgebraalgebra unsolved

Problem Statement

For what values of m m does the equation x^2 \plus{} (2m \plus{} 6)x \plus{} 4m \plus{} 12 \equal{} 0 has two real roots, both of them greater than \minus{}1.