Question: Question 2 (10 marks): Secant Method and Method of False Position The sum of two positive numbers is 30. If each number is added to

 Question 2 (10 marks): Secant Method and Method of False Position

Question 2 (10 marks): Secant Method and Method of False Position The sum of two positive numbers is 30. If each number is added to its square root, the product of the two sums is 255.55. Why do you expect one of the numbers to be between 0 and 15? Use a C# implementation of the Secant method to determine the two numbers. Show that the method does not converge to a solution for po = 0 and pi = 15. Find a choice of po and pi that does converge to a solution. Now use the Method of False Position to demonstrate that the method does converge to a solution for po = 0 and p1 = 15. Print the approximated solution at every iteration step and use a tolerance of 10-4

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