We can zoom to check if there are any zero(s) by changing the window settings.
G
Practice makes perfect
Since the given equation is in standard form, we can enter it in the calculator by pushing Y= and writing the non-zero side in the first row.
Next, by pushing GRAPH, the calculator will draw the graph of the equation. Note that we are looking for x-values that make the y-value equal 0.
At first glance, it may seem like we have only one zero. We can check this by zooming in on the zero(s) by changing the window settings. To do this, push WINDOW and change the settings to a much smaller window. Then push GRAPH once more to draw the equation with these new settings.
Now we are able to see that the graph intersects the x-axis twice and there are two zeros. To find them, we can use the zero option in the calculator. This can be found by pressing 2ND and then CALC.
After selecting the "zero" option, we need to choose left and right boundaries for one of the zeros. Finally, the calculator will ask for a guess as to the location of the zero. After that, it will calculate the exact point for us. We will have to do this twice, once for each zero.
This equation's solutions are x ≈ 1.16 and x ≈ 2.59. Therefore, the correct option is G.
