Quadratic equation solver 0 Quadratic equation solver Roots of ax+bx+c -1.0,-2.0 Roots of axbx+c All x Solve Solve If a and b are 0 but c is non-zero, then there are no roots. 0 Quadratic equation solver Roots of ax +bx+c Nox Solve If a is 0 but b is non-zero, then we have a line with non-zero slope, so there is exactly one root. Os Quadratic equation solver Create a graphical user interface program in JavaFX for solving the quadratic equation ax2 + bx+c = 0. The user will enter values for a, b, and c into text fields and press a Solve button. The program will then display a list of the roots in a text field. Your interface should look sim- ilar to the above. Use a BorderPane as the parent node of the scene. Use an HBox to hold the four labels and four text fields and another HBox to hold the Solve button. The unicode for a superscripted 2 is \u00B2. Recall that you can modify the width of a text field by call- ing setPrefColumnCount. When the user clicks the Solve button the program should use Dou- ble.parse Double to parse the a, b, and c text fields. If any of these calls to parse Double cause an exception then catch the exception and change that text field's text to O (by performing setText("O") on that text field). Do not change the values in the other text fields. Your program should correctly deal with cases where a, b, and/or c are 0- a: O b: 4 c 6 Roots of ax? + bx + C -1.5 Solve If a is non-zero, then the number of roots depends on the so-called dis- criminant: b2 - 4ac. If the discriminant is positive, there are two roots. If the discriminant is 0, there is only one root don't display it twice. If the discriminant is negative, then there are no roots (No X, as above). For instance, if all three fields are 0 then the roots are all x