Procedure

1. Select the Experiment Type
   From the experiment header, choose the type of equation you want to solve, such as an algebraic equation (linear, quadratic, or higher degree) or a transcendental equation.

2. Specify the Mathematical Expression
   Enter the equation in the input field using the variable ( x ). Ensure that the equation is written in the standard form: [ f(x) = 0 ]

3. Choose the Numerical Method
   Select the numerical method to be applied (e.g., Bisection Method or Regula Falsi Method) from the available options.

4. Set the Input Parameters

   • Enter the initial guess or lower and upper bounds (where applicable), ensuring that the function changes sign within the selected interval.
   • Specify the number of iterations or allowable error tolerance, as required by the chosen method.

5. Submit the Values
   Click the Calculate or Submit button to execute the numerical algorithm.

6. Observe the Output
   Examine the computed approximate root, the number of iterations taken for convergence, and the corresponding function value ( f(x) ).
   Observe the graphical output, which shows the function curve and the location of the root on the ( x )-axis.

7. Interpret the Results
   Verify whether the solution converges to a stable root and compare the results obtained using different numerical methods to understand their convergence behavior and accuracy.