We want to solve the given quadratic equation by graphing. Let's begin by writing the terms on the left-hand side. To solve the equation, we will graph the quadratic function represented by the left-hand side of the above equation. To draw the graph, we must start by identifying the values of and We can see that and Now, we will follow four steps to graph the function.
The intercept of the graph of a quadratic function written in standard form is given by the value of Thus, the point where our graph intercepts the axis is Let's plot this point and its reflection across the axis of symmetry.
We can now draw the graph of the function. Since which is positive, the parabola will open upward. Let's connect the three points with a smooth curve.
The intercepts of the graph are the solutions to the given equation. By looking at the graph, we can state the values for the intercepts. Notice that the vertex of the parabola is the only intercept. Therefore, there is only one solution, which is