Question Number 22001 by vk loyal last updated on 09/Oct/17
$${if}\:\begin{vmatrix}{{z}−\frac{{z}}{\mathrm{4}}}\\{}\end{vmatrix}=\mathrm{2}\:{then}\:{value}\:{of}\:\begin{vmatrix}{{z}}\\{}\end{vmatrix} \\ $$
Answered by ajfour last updated on 09/Oct/17
$$\mid{z}−\frac{{z}}{\mathrm{4}}\mid=\frac{\mathrm{3}}{\mathrm{4}}\mid{z}\mid=\mathrm{2} \\ $$$$\Rightarrow\:\mid{z}\mid=\frac{\mathrm{8}}{\mathrm{3}}\:. \\ $$