Added old self learning latex files

1 files changed, 49 insertions, 0 deletions

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+\documentclass{article}
+
+\usepackage{amsmath}
+
+\usepackage{polyglossia}
+\setmainlanguage{russian} % alternative for lack of bulgarian support
+\setotherlanguage{english}
+\newfontfamily\russianfont{Times New Roman}
+
+\begin{document}
+\huge
+
+\begin{center}
+Теореми за разположение на корени на уравнение от типа $ax^2+bx+c, a \neq 0$
+\end{center}
+
+\begin{center}
+
+\textbf{Теорема 1:} когато искаме\linebreak
+$x_1 < p < x_2$\linebreak
+(тоест $x_1 < p$ и $x_2 \geq p$),\linebreak
+трябва\linebreak
+$a * f(p) < 0$
+
+\end{center}
+
+\begin{center}
+
+\textbf{Теорема 2:} когато искаме\linebreak
+$x_1 < p$ и $x_2 < p$\linebreak
+трябва\linebreak
+$a * f(p) > 0$,\linebreak
+$D \geq 0$,\linebreak
+$-\frac{b}{2a} < p$
+
+\end{center}
+
+\begin{center}
+
+\textbf{Теорема 3:} когато искаме\linebreak
+$x_1 > p$ и $x_2 > p$\linebreak
+трябва\linebreak
+$a * f(p) > 0$,\linebreak
+$D \geq 0$,\linebreak
+$-\frac{b}{2a} > p$
+
+\end{center}
+
+\end{document}
\ No newline at end of file