Use the modified Newton$-$Raphson methods to evaluate the multiple root, with an initial guess of $x_0=0\mathrm{.}2($True value $=0\mathrm{.}5,$ Stopping criterion $={}_{\text{s}\text{t}\text{o}\text{p}}=0\mathrm{.}05\%)$

$f(x)=x^3-3x^2+2\mathrm{.}25x-0\mathrm{.}5=0$

For each iteration, evaluate absolute true percent relative error $(|{}_t|\%).$