What are the sum (S) and product (P) of the roots of the equation 3x^2 - 7x + 12 = 0 ?
$$\small{\text{
$
\begin{array}{rcl}
3x^2 - 7x + 12 & = & 0 \quad | \quad :3 \\ \\
x^2 - \frac{7}{3}x + \frac{12}{3} & = & 0 \\ \\
x^2 \underbrace{- \frac{7}{3}}_{ = -S } x + \underbrace{ 4 }_{=P }& = & 0 \\\\
$ sum (S) of the roots: $x_1+x_2& = &+ \frac{7}{3} \\\\
$ product (P) of the roots: $ x_1*x_2& = & 4
\end{array}
$
}}$$
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