It is a numerical method problem. Give me a detailed solution by showing the corresponding formulas. i will use this as review. Please avoid just generating in GPT as i will recognize it and report. Thank you in advanceQuestion#$2[20$ marks$]$ a$)[10$ marks$]$ What are the next two iterative values of the root of $x^3+x-9=0$ using the Secant method, if the previous two iterative values are $1\mathrm{.}0$ and $2\mathrm{.}0$ respectively? Find the absolute value of the percentage true error in your solution $($the true solution is $x=1\mathrm{.}920175?($You have to show all your working steps.$)$ b$)[10$ marks$]$ Use the False$-$position method to approximate the root of $f(x)=x^2+2\sqrt[\phantom{2}]{x}-3\mathrm{.}5$ in the interval $1,1\mathrm{.}3.$ Perform only two iterations, doing all your computation in five significant digits. $($You have to show your detailed calculations.$)$