Consider a hypothetical dynamical system governed by the following equations: ... , ... , where ... and ... are bifurcation parameters that vary between ... and ... and with values set by the user. The steady states of this system are solutions of the following system of equations: ... , ... . The above system of two nonlinear equations exhibits multiple solutions that can all be determined using the built-in Mathematica function ... [1]. In addition to giving a graphical representation of the contours ... ... and ... ... and the intersection points (shown in black), this Demonstration provides the numerical values of all roots for ... and ... .