====== Question 5, Review Exercise ======
Solutions of Question 5 of Review Exercise of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. 

===== Question 5 =====
Find $z$ when $(z-3 i)(2+5 i)=3-4 i$.

** Solution. **

===== Question 5 =====
Find $z$ when $(z-3 i)(2+5 i)=3-4 i$.

** Solution. **

\begin{align*}
&(z-3 i)(2+5 i)=3-4 i \\
\implies & z-3 i=\dfrac{3-4 i}{2+5 i} \\
\implies & z-3 i=\dfrac{(3-4 i)(2-5i)}{(2+5 i)(2-5i)}\\
\implies & z-3 i=\dfrac{6-20-15i-8i}{4+25}\\
\implies & z-3 i=\dfrac{-14-23i}{29}\\
\implies & z=-\dfrac{14}{29}-\dfrac{23i}{29}+3i\\
\implies & z=-\dfrac{14}{29}+\dfrac{64i}{29}.\\
\end{align*}
GOOD
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