### $3.$ False Position Method

Determine the real root of $x$^\{3\mathrm{.}5\}=80$$ with the false position method to within $$\backslash$epsi $\_$a $=0\mathrm{.}01\backslash \%$$$.$ Use initial guesses of $1\mathrm{.}0$ and $5\mathrm{.}0.$

$-$ save the real root on $***$HW$3\_7.$dat$***$ file

$-$ save the estimated error $\backslash$epsi a on $***$HW$3\_8.$dat$***$ file