Assignment 3-Numerical Analysis for Scientists-2019

1. Consider the equation: x^5 – 4x^4 + 4x^3 = 0.
(a) (4 marks) Solve the equation using hand calculations. What is the order of
each root of the equation?
(b) (3 marks) Find an interval [a; b] such that the bisection method can be used
to find a solution of the equation. Justify your answer.