We want to solve the given quadratic equation by graphing. To do so, 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. However, this graph has no intercepts. Therefore, this equation has no real solutions.