Find the equation of the locus of points represented by complex number z when w is real

$${\mathtt{w}} = {\frac{\left({{\mathtt{z}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{z}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}{\left({{\mathtt{z}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}}$$