Question

Number of solutions of the equation ${\left|z\right|}^2+7\bar{z}=0$ is

• A. $1$
• B. $2$
• C. $4$
• D. $6$

Answer 1

Answer: (B)

Given ${\left|z\right|}^2+7\bar{z}=0$
$\Rightarrow z\bar{z}+7\bar{z}=0$
$\Rightarrow \bar{z}\left(z+7\right)=0$
Case (i) : $\bar{z}=0$,
$\therefore z=0=0+i0$
Case (ii): $z=-7$
$\therefore z=-7+0i$
Hence there is only two solutions.