Sometimes an equation or inequality may be difficult or impossible to solve algebraically. In this case we use the graphical method. In this method we view x as a variable and sketch an appropriate graph. We can then obtain an approximate solution from the graph.

Solving Equations Graphically

The advantage of the algebraic method is that it gives exact answers. Also, the process of unraveling the equation to arrive at the answer helps us to understand the algebraic structure of the equation. On the other hand, for many equations it is difficult or impossible to isolate x.

Solving a Quadratic Equation Algebraically and Graphically:

Solving Inequalities Graphically