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Evaluating some symmetrical of quadratic roots

The symmetric property of quadratic roots states that if a quadratic equation has roots α and β, then the sum of the roots (α + β) is equal to the negative coefficient of the linear term (b) divided by the coefficient of the quadratic term (a), and the product of the roots (α * β) is equal to the constant term (c) divided by the coefficient of the quadratic term (a). In mathematical terms: 1. α + β = -b/a 2. α * β = c/a This symmetry between the roots of a quadratic equation is a fundamental property and is often used to find the roots when the coefficients of the quadratic equation are known.