Los op. Vermijd indien mogelijk het gebruik van de discriminant.
\(\frac{1}{3}x^2+\frac{7}{3}x+2=0\)
\(\frac{1}{3}x^2+\frac{7}{3}x+2=0\\
\Leftrightarrow \color{red}{3.} \left(\frac{1}{3}x^2+\frac{7}{3}x+2\right)=0 \color{red}{.3} \\
\Leftrightarrow x^2+7x+6=0 \\\text{We zoeken de oplossingen van } \color{blue}{x^2+7x+6=0} \\ \\\begin{align}
D & = b^2 - 4.a.c & & \\
& = (7)^2-4.1.6 & &\\
& = 49-24 & & \\
& = 25 & & \\ \\
x_1 & = \frac{-b-\sqrt{D}}{2.a} & x_2 & = \frac{-b+\sqrt{D}}{2.a} \\
& = \frac{-7-\sqrt25}{2.1} & & = \frac{-7+\sqrt25}{2.1} \\
& = \frac{-12}{2} & & = \frac{-2}{2} \\
& = -6 & & = -1 \\ \\ V &= \Big\{ -6 ; -1 \Big\} & &\end{align} \\ -----------------\)