MA5271 Chapter 1
Less than 1 minute
How to solve $f(x)=0$
Thm1.1 (Abel, 1824)
For any n ≥ 5, there is a poly-nomial p(x) of degree n with rational coefficients that has a real solution p(x?) = 0 with the property that x cannot be written using any expression involving only rational numbers, addition, subtraction, multiplication, division and kth roots.
Bisection method
Thm IVM
example 1.4
Use the Bisection Method to find a solution of f(x) = cos(x)−x = 0 in the interval [0, 1] to within Six correct places.
Fixed point method
