Answer
\begin{align*}
\text{Sum: }&
5
\\\\
\text{Product: }&
6
\end{align*}
Work Step by Step
Given the quadratic equation $ax^2+bx+c=0,$ the sum and product of its roots are given by the following ratios:
\begin{align*}
\text{Sum: }&-\dfrac{b}{a}
\\\\
\text{Product: }&\dfrac{c}{a}
.\end{align*}
Hence, the sum and product of the roots of the given equation, $
x^2-5x+6=0
,$ are
\begin{align*}
\text{Sum: }&-\dfrac{-5}{1}
\\&=
5
\\\\
\text{Product: }&\dfrac{6}{1}
\\&=
6
.\end{align*}
