Trouble positioning TikZ node

Question

My code is

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}

\begin{document}

\begin{tikzpicture}
    \node (0,0) {$M = \frac{A+B}{C \times D} + F + G$};
    \draw[thick, red, ->] (-0.5,0.5) -- (-.35,2);
    \draw[thick, red, ->] (0,0.5) -- (-.15,2);
    \draw[thick, ->] (0.7,-0.25) -- (1,-2);
    \draw[thick, ->] (1.3,-0.25) -- (1.1,-2);
    \node[red, ellipse,draw] (-.2,2.5) {method 1};
    \node[ellipse,draw] (1.1,-2.5) {method 2};
\end{tikzpicture}

\end{document}

And the result is

The result I want is

I'm not sure why the nodes aren't positioning correctly, because I think the coordinates given are right. If someone could help (and even better, explain) that'd be great.

Bonus question: How do you make it so just the node outline and not the text is red?

Thanks!

Answer 1

The first question is just a typo, that is, at keyword was missing before the coordinates so it was understood as the name of the node. The bonus question is actually comes to the fact that when a standalone color is given it sets some kind of a generic \pgf....@current@color@.... for everything (behind the scenes it modifies the color . using the xcolor syntax)

A more selective color syntax is using the dedicated key in the path declaration such as

\draw[draw=red,text=blue] ...

That only modifies the specific property.