What is the product of the roots of the quadratic equation x^2 - 5x + 6 = 0?

To find the product of the roots of the quadratic equation (x^2 - 5x + 6 = 0), we can use Vieta's formulas. According to Vieta's, for a quadratic equation in the standard form (ax^2 + bx + c = 0), the product of the roots (denoted as (r_1) and (r_2)) can be calculated as (c/a), where (c) is the constant term and (a) is the coefficient of (x^2).

In this case, the equation is (x^2 - 5x + 6 = 0), which gives (a = 1) and (c = 6). Therefore, the product of the roots is (c/a = 6/1 = 6).

Thus, the product of the roots is 6, which confirms that the correct answer is indeed accurate. This approach not only provides the correct product but also showcases the utility of Vieta's formulas in solving quadratic equations efficiently.