Can you find the roots of a quadratic equation of one variable with the help of the geometry sketchpad? The following article explains to you the specific steps for finding the roots of a quadratic equation with the help of a geometric sketchpad. If you have friends who need to learn, please quickly learn it with the editor.
Open the geometric sketchpad software and establish three parameters. Click "Data" in the upper menu and select "New Parameter" from the pop-up drop-down menu. In the small window that pops up, change t1 to a, select unitless, and default the value, then click OK. In the same way, establish the other two parameters b and parameter c. Let their values be 1 first, and then you can change the values of the parameters at will.
Enter the function expression of the quadratic equation of one variable. Click "Draw" on the upper menu, select the draw new function option, and enter the expression in the pop-up dialog box. There are a few points to note when entering expressions. 1. When entering parameter a, click the parameter a in the upper left corner with the mouse to enter. Then click the multiplication sign * to enter x. The same goes for other parameters.
Change parameter values. After entering the expression, click "OK" to draw a graph as shown below. Obviously, it has no intersection with the horizontal axis, and the corresponding quadratic equation has no real roots. So to change the value of the parameter, double-click parameter a, and a small window will pop up. Just enter the specific value. The same goes for other parameters.
Select the function tool. Click the "Custom Tool" button on the left toolbar, and select "Function Tool" from the pop-up shortcut option - the root of f(x)=0.
Find the roots of the equation. Click the function analysis expression once, move the cursor, and the root label appears, and one root is displayed. Click the expression again, move the cursor, another root label appears, and the second root is displayed.
Tip: In this way, the two real roots of the quadratic equation have been found. Note that the two x values are the roots, and y is the ordinate. So how to find the roots of a quadratic equation with arbitrary coefficients? The method is very simple. You only need to double-click the parameters, change the values of a, b, and c, and the roots of the new equation will be displayed immediately.
Friends who don’t know the specific steps to find the roots of quadratic equations with the help of geometric sketchpad, don’t miss this article brought by the editor.
