GraphingCalculator 3.0;
Window 44 6 758 646;
PaneDivider 350;
2D.BottomLeft -1.390625 -4.484375;
3D.View 0.710561028899786 0.571667763896598 -0.410242601310949 -0.495078806059099 0.820485202621897 0.285833881948299 0.500000000000001 -1.16444175014924e-15 0.866025403784442;
Text "Solving really hard equations is easier with graphics than it would ever be with only algebra. Here is an example:";
Color 4;
Expr y*x^4-x^2*y^4-y^6+y^4-y-2*x^4-2*x^2*y^2+3*x^2*y^3+2*y^5-y^3-2*y^2+2=0;
Text "I would have no idea how to solve this. But, looking at its graph, two answers become obvious: a line, and a circle. These two answers can be factored out to find the third, a hyperbolic cubic.";
Expr [y-2]*[x^2+y^2+-1]*[1+x^2-y^3]=0;
Text "Notice how much better the resolution is for the factored equation.";