To solve the equation by graphing, make functions out of the left-hand side and right-hand side. Then enter them into the calculator.
x=2.3949
Practice makes perfect
To solve the equation by graphing, we will write the equation's two sides as separate functions.
y=x^2+3 and y=x^3-5
You can enter these into a graphing calculator by pushing Y= and typing the right-hand side in the two first rows.
By pushing GRAPH, the calculator will draw the equations. We will re-size the standard window to make the intersection more visible by pushing the WINDOW button. Change the settings to a more appropriate size and then push GRAPH.
We see that the graphs intersect one time, so there is one solution to this equation. To determine it, use the intersect option by pressing 2ND and then CALC.
Next, to help the calculator work faster, you will have to provide it with some guess as to where the intersections occur. To make sure the calculator picks the intersection point you want to find, make your guess as close as possible to it.
