How to solve the root of the equation with the geometrical sketchpad

The specific steps are as follows:

1. Take the equation x3-3x+1=0 as an example, first construct the function f (x) = X3-3x+1, and draw its image. Click Drawing--Draw new function. Enter the function expression in the pop-up window and click OK. So the function image is painted well.

Click Drawing--Draw new function to draw the equation image

2. Select Root tool. Click Custom Tool and select the function tool--"f (x) =0 root" option.

Select the function tool under the custom tool to find the root of the equation

3. Click the function expression, an active point, the location of the move point, until the root is displayed, then show the first root of the equation, click the expression again, move point position, find the second root, the same method can find the third root.

Click the function expression to find out the three roots of the equation

4. Change and set the subscript for the root. Click each xroot value, click Display--measure label, and in the small window, the subscript rod start value is changed to 1, and click OK.

Click Show--measure label to change the subscript for the root

5. Hide excess Yroot initial value expression. Select three initial values and click Show--Hide measures.

Click Show--hide measures to hide extra initial values

6. Set the accuracy of the root. Select the root, click Show--"label of Measure", click the value label, and select 1% if we want to keep two decimal digits, OK.

Click "Show"--"label of measures" to modify the precision of the root

7. Finally, the results are shown below.

Example of the root display result of the final equation