1. If we plan to find a root for the function f(x) = x^2-2x +1 by using the following methods: (i) Bisection method, (ii) Regula Falsi (False position), (iii) Secant, (iv) Newtons method. Explain what happens when we apply the above methods. Can we successfully obtain the answer by those methods? Will the convergence acceptable? State your arguments as formal as possible!

2.For the same function in the previous question, can we use the modified Newtons method to find the answer? State your reason as clear as possible.