Question

Question given down below if Z = 2 +3i and W =5 -4i show that ;

Answer 1

`\begin{gathered} (z)/(w)=(2+3i)/(5-4i)*((5+4i))/((5+4i)) \\ =(10+8i+15i+12i^2)/(25-16i^2) \\ =(10+23i-12)/(25+16) \\ =(-2+23i)/(41) \\ =(-2+23i)/(41) \\ \bar{((z)/(w))}=(-2-23i)/(41) \end{gathered}`
`\begin{gathered} \frac{\bar{z}}{\bar{w}}=(2-3i)/(5+4i) \\ =(2-3i)/(5+4i)*(5-4i)/(5-4i) \\ =(10-8i-15i+12i^2)/(25-16i^2) \\ =(10-23i-12)/(25+16) \\ =(-2-23i)/(41) \end{gathered}`

Hence, it is shown that Left hand side is equal to right hand side.