What is the sum of the roots of the quadratic equation \(x^2 - 5x + 6 = 0\)?

To find the sum of the roots of the quadratic equation (x^2 - 5x + 6 = 0), we can use the properties of quadratic equations as defined by Vieta's formulas. For a standard quadratic equation of the form (ax^2 + bx + c = 0), the sum of the roots is given by the formula (-\frac{b}{a}).

In this specific equation, we identify (a = 1), (b = -5), and (c = 6). Applying Vieta's formula, we calculate the sum of the roots as follows:

[

\text{Sum of the roots} = -\frac{-5}{1} = \frac{5}{1} = 5.

]

Thus, the sum of the roots of the given quadratic equation is indeed 5. This confirms that the answer is correct.