Chapter 6, Problem 3P

Use (a) fixed-point iteration and (b) the Newton-Raphson method to determine a root of $f\left(x\right)=-0.9x^2+1.7x+2.5\text{ using }{x}_0=5$. Perform the computation until ${\epsilon }_a$ is less than ${\epsilon }_s=0.01\%$. Also perform an error check of your final answer.