[tex]\bf \qquad \qquad \textit{quadratic formula}\\\\
\begin{array}{llccll}
y=&{{ 2}}x^2&{{ -13}}x&{{ +4}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad \qquad
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
\\\\\\
x=\cfrac{-(-13)\pm\sqrt{(-13)^2-4(2)(4)}}{2(2)}\implies x=\cfrac{13\pm\sqrt{169-32}}{4}
\\\\\\
x=\cfrac{13\pm\sqrt{137}}{4}\implies x\approx
\begin{cases}
6.17617497768\\
0.32382502232
\end{cases}[/tex]