Leonardo José Valdéz Flores 9490-22-0900 Choose initial points x0, x1, x2 Start No Update x0, x1, x2 with x1, x2, new root respectively Check convergence: Is the difference between roots < tolerance? Account for potential errors in calculations Yes End (Convergence condition met) Calculate function values f(x0), f(x1), f(x2) Construct quadratic equation ax^2 + bx + c = 0 Solve the quadratic equation (Obtain two roots) Select the root closest to x2