Please use wolfram mathematica coding to solve question below:

P1) (L 1.4.1) Consider the function f(x) = x2 2x +1 which has a root at 1+ V2. Write a program for the secant method to estimate the root. Use seeds 2 and 3. P2) (L 1.4.2) Write a program for Newton's method to estimate the root (1 + V2) of the function in Exercise P1. Choose a reasonable seed. Compute the error estimate found in Loustau Theorem 1.4.2. Verify that the actual absolute error is less than the estimated absolute error. P1) (L 1.4.1) Consider the function f(x) = x2 2x +1 which has a root at 1+ V2. Write a program for the secant method to estimate the root. Use seeds 2 and 3. P2) (L 1.4.2) Write a program for Newton's method to estimate the root (1 + V2) of the function in Exercise P1. Choose a reasonable seed. Compute the error estimate found in Loustau Theorem 1.4.2. Verify that the actual absolute error is less than the estimated absolute error