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+\documentclass{article}
+\begin{document}
+\noindent\textbf{First solution example}:\\[1ex]
+The solution for the system equation
+\[ \renewcommand{\arraystretch}{1.2}
+ F(x,y) = 0\quad\mbox{and}\quad
+ \left|\begin{array}{ccc}
+ F''_{xx} & F''_{xy} & F'_x\\
+ F''_{yx} & F''_{yy} & F'_y\\
+ F'_x & F'_y & 0
+ \end{array}\right| = 0
+\]
+yields the coordinates for the possible inflection points of $F(x,y) = 0$.
+
+\bigskip
+\noindent\textbf{Second solution example}:\\[1ex]
+The solution for the system equation
+\[ \renewcommand{\arraystretch}{1.2}
+ F(x,y) = 0\quad\mbox{and}\quad\begin{array}{|ccc|}
+ F''_{xx} & F''_{xy} & F'_x\\
+ F''_{yx} & F''_{yy} & F'_y\\
+ F'_x & F'_y & 0
+ \end{array} = 0
+\]
+yields the coordinates for the possible inflection points of $F(x,y) = 0$.
+\end{document}
+