Two charges are located on the x$-$axis. Charge $q_1(-8\mathrm{.}8nC)$ is located at $x=4\mathrm{.}0cm$ and charge $q_2$ is located at $x=13\mathrm{.}0cm.$ If the electric field at $x=10\mathrm{.}0cm$ is measured to be zero, what is the charge of $q_2?$

$($a$)-2\mathrm{.}2$ nC

$($b$)2\mathrm{.}2$ nC

$($c$)-4\mathrm{.}5$ nC

$($d$)4\mathrm{.}5$ nC

$($e$)-9\mathrm{.}0$ nC